# Frank Solutions for Chapter 2 Profit, Loss and Discount Class 9 Mathematics ICSE

**Exercises**

**1. Find the loss percentage incurred by selling a watch for Rs 1610 that was purchased for Rs 1750.**

**Answer**

Given

C.P of the watch = Rs 1750

S.P of the watch = Rs 1610

Loss = C.P – S.P

= Rs (1750 – 1610)

= Rs 140

Loss% = (Loss/C.P) × 100

= (140/1750) × 100

We get,

= 8%

Therefore, the loss percentage is 8%

**2.** **Find the selling price of a camera bought for Rs 4600 and sold at a profit of 15%**

**Answer**

Given

C.P of the camera = Rs 4600

Profit = 15%

(S.P/C.P) = 1 + Profit/100

⇒ (S.P/4600) = 1 + 15/100

⇒ (S.P./4600) = (100 + 15)/100

⇒ S.P = (115/100) × 4600

= Rs 5290

Therefore, the selling price of a camera is Rs 5290

**3. ****Find the selling price of a watch bought for Rs 4050 and sold at a loss of 14%**

**Answer**

Given

C.P of the watch = Rs 4050

Loss = 14%

(S.P/C.P) = 1 – Loss/100

⇒ S.P/4050 = 1 – 14/100

⇒ S.P/4050 = (100 – 14)/100

⇒ S.P = (86/100) × 4050

We get,

S.P = Rs 3483

Therefore, the selling price of a watch is Rs 3483

**4. ****A man buys a car for Rs 75000 and spends Rs 15000 on repairing it. If he sells the car now for Rs 114000, find the gain per cent.**

**Answer**

Given

C.P of the car = Rs 75000

Money spent on repairing = Rs 15000

Total C.P = Rs 75000 + Rs 15000

= Rs 90000

S.P of the car = Rs 114000

Gain = S.P – C.P

= Rs (114000 – 90000)

= Rs 24000

Gain% = (Gain/C.P) × 100

= (24000/90000) × 100

We get,

= 26.6%

Therefore, the gain percent of the car is 26.6%

**5.** **A shopkeeper expects a profit of 25% on his cost price. In a week, his sale was of Rs 5000 what was his profit?**

**Answer**

Let the cost price = Rs 100

So, the profit will be Rs (25/100) × 100

= Rs 25

SP = CP + Profit

⇒ SP = Rs (100 + 25)

⇒ SP = Rs 125

Thus,

When the profit is Rs 25, the sale is Rs 125

Let x be the profit when the sale is Rs 5000

x = (25 × 5000)/125

⇒ x = Rs 1000

Therefore, the profit is Rs 1000

**6. ****On selling 10 watches at Rs 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.**

**Answer**

Let the CP of 3 watches be Rs x

Hence,

CP of 1 watch = Rs (x/3)

CP of 10 watches = Rs (10x/3)

Loss on selling 10 watches = CP of 3 watches = Rs x

SP of 10 watches = Rs 1400

Loss incurred on selling 10 watches = CP of 3 watches = Rs x

Since CP – SP = Loss

Rs (10x/3) – Rs 1400 = Rs x

⇒ (10x – 4200)/3 = x

⇒ 10x – 4200 = 3x

⇒ 7x = 4200

We get,

x = 600

Therefore,

CP of a watch = Rs (x/3)

CP of a watch = Rs (600/3) = Rs 200

**7. Anant bought toffees at 5 for a rupee. How many for a rupee must he sell to gain 25%?**

**Answer**

CP of 5 toffees = Rs 1

SP of 5 toffees = {(100 + Profit%)/100} of CP

= {(100 + 25)/100} × Rs 1

= 125% × Rs 1

We get,

= Rs (5/4)

For Rs (5/4), toffees sold = 5

For Rs 1, toffees sold = (5 × 4/5) = 4

Therefore,

4 toffees were sold to gain 25%

**8.** **By selling a tie for Rs 6.48, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?**

**Answer:**

The S.P of a tie = Rs 648

Gain = 8%

(S.P./C.P.) = 1 + (Profit/100)

⇒ (648/C.P.) = 1 + (8/100)

⇒ 648/C.P. = {(100 + 8)/100}

⇒ C.P = (100/108) × 648

⇒ C.P. = Rs 600

Now,

C.P. of the tie = Rs 600

Gain = 10%

Hence,

Gain = (10/100) × C.P.

= (10/100) × 600

We get,

= Rs 60

Therefore,

S.P. = Rs (600 + 60)

= Rs 660

Therefore, the shopkeeper must sell the tie at Rs 660 to make a gain of 10%

**9. ****Find the SP in the following:**

**(a) MP = Rs 850, Discount = 16%**

**(b) MP = Rs 5500, Discount = 30%**

**Answer**

**(a)** MP = Rs 850

Discount = 16%

Discount% = {(discount/MP)×100}

16 = {(discount/850) × 100}

We get,

Discount = (16×850)/100

We get,

Discount = Rs 136

S.P. = MP – discount

= Rs 850 – Rs 136

= Rs 714

Therefore, the S.P. is Rs 714

**(b)** MP = Rs 5500, Discount = 30%

Discount% = (discount/MP) × 100

30 = (discount/5500) × 100

Discount = (30 × 5500)/100

We get,

Discount = Rs 1650

S.P. = MP – Discount

= Rs 5500 – Rs 1650

= Rs 3850

Therefore, the S.P. is Rs 3850

**10.** **Find the MP in the following:**

**(a) S.P. = Rs 1892, Discount = 14%**

**(b) S.P. = Rs 1245, Discount = 17%**

**Answer**

**(a)** SP = Rs 1892

Discount = 14%

SP = (1 – d/100) of MP

⇒ 1892 = (1 – 14/100) × MP

⇒ 1892 = (86/100) × MP

⇒ MP = (1892 × 100)/86

We get,

MP = Rs 2200

**(b)** SP = Rs 1245

Discount = 17%

SP = (1 – d/100) of MP

⇒ 1245 = (1 – 17/100) × MP

⇒ 1245 = (83/100) × MP

⇒ MP = (1245 × 100)/83

We get,

MP = Rs 1500

**11.** **Find the discount percentage in the following:**

**(a) MP = Rs 1500, SP = Rs 1320**

**(b) MP = Rs 6840, SP = Rs 5814**

**Answer**

**(a)** MP = Rs 1500

SP = Rs 1320

Discount = MP – SP

⇒ Discount = Rs 1500 – Rs 1320

⇒ Discount = Rs 180

⇒ Discount percentage = {(discount/MP) × 100}%

= {(180/1500) × 100}%

We get,

= 12%

(b) MP = Rs 6840

SP = Rs 5814

Discount = MP – SP

⇒ Discount = Rs 6840 – Rs 5814

⇒ Discount = Rs 1026

⇒ Discount percentage = {(1026/6840) × 100}%

We get,

Discount percentage = 15%

**12. ****Find the amount paid by a customer when he buys a watch priced at Rs 5400 available at a discount of 12%**

**Answer**

MP = Rs 5400

Discount = 12%

To find the amount paid by the customer,

i.e, SP

SP = (1 – d/100) of MP

⇒ SP = (1 – 12/100) × 5400

⇒ SP = (88/100) × 5400

We get,

SP = Rs 4752

Therefore, the amount paid by the customer is Rs 4752

**13.** **Find the S.P. in the following:**

**(i) M.P = Rs 850, Discount = 16%**

**(ii) M.P = Rs 5500, Discount = 30%**

**(iii) M.P = Rs 1625, Discount = 12%**

**Answer**

**(i)** M.P = Rs 850

Discount = 16%

(SP/MP) = 1 – (discount/100)

⇒ SP/850 = 1 – (16/100)

⇒ SP = (84/100)× 850

We get,

= Rs 714

**(ii)** M.P = Rs 5500

Discount = 30%

(SP/MP) = 1 – (discount/100)

⇒ SP/5500 = 1 – (30/100)

⇒ SP = (70/100) × Rs 5500

We get,

= Rs 3850

**(iii)** M.P = Rs 1625

Discount = 12%

(SP/MP) = 1 – (discount/100)

⇒ SP/1625 = 1 – (12/100)

⇒ S.P = (88/100) × 1625

We get,

= Rs 143

**14.** **Find the M.P in the following:**

**(i) S.P = Rs 1892, Discount = 14%**

**(ii) S.P = Rs 1245, Discount = 17%**

**(iii) S.P = Rs 5343, Discount = 22%**

**Answer**

**(i)** S.P = Rs 1892

Discount = 14%

(SP/MP) = 1 – (discount/100)

⇒ 1892/MP = 1 – (14/100)

⇒ MP = (100/86) × 1892

We get,

MP = Rs 2200

**(ii)** S.P = Rs 1245

Discount = 17%

(SP/MP) = 1 – (discount/100)

⇒ 1245/MP = 1 – (17/100)

⇒ MP = (100/83) × 1245

We get,

MP = Rs 1500

**(iii)** S.P = Rs 5343

Discount = 22%

(SP/MP) = 1 – (discount / 100)

⇒ 5343/MP = 1 – (22/100)

⇒ MP = (100/78) × 5343

We get,

MP = Rs 6850

**15.** **Find the discount percentage in the following:**

**(i) M.P = Rs 1500, S.P = Rs 1320**

**(ii) M.P = Rs 6840, S.P = Rs 5814**

**(iii) M.P = Rs 1960, S.P = Rs 1176**

**Answer**

**(i)** M.P = Rs 1500

S.P = Rs 1320

(S.P/MP) = 1 – (discount/100)

⇒ 1320/1500 = 1 – (D/100)

⇒ D/100 = 1 – (1320/1500)

On further calculation, we get,

D = (180/1500) × 100

We get,

D = 12

Therefore, discount = 12%

**(ii)** MP = Rs 6840

SP = Rs 5814

(SP/MP) = 1 – (discount/100)

⇒ 5814/6840 = 1 – (D/100)

⇒ D/100 = 1 – (5814/6840)

On further calculation, we get,

D = (1026/6840) × 100

We get,

D = 15

Therefore, discount = 15%

**(iii)** MP = Rs 1960

SP = Rs 1176

(SP/MP) = 1 – (discount/100)

⇒ 1176/1960 = 1 – (D/100)

⇒ D/100 = 1 – (1176/1960)

On further calculation, we get,

D = (784 / 1960) × 100

We get,

D = 40

Therefore, discount = 40%

**Exercise 2.2 **

**1****. A shopkeeper expects a profit of 25% on his cost price. In a week, his sale was of Rs 5000 what was his profit?**

**Answer**

**2. On selling 10 watches at Rs. 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch. **

**Answer**

**3. Anant bought toffees at 5 for rupee. How many for a rupee must he sell to gain 25%? **

**Answer**

**4. By selling a tie for Rs 648, a shopkeeper gains 8%. At what price should he sell the tie to gain 10%?**

**Answer**

**5. By selling a cupboard for Rs 6480, a merchant loses 10%. Calculate his loss if he sells it for Rs 7560. **

**Answer**

**6. The cost price of 5 pens is the same as the selling price of 4 of them. Find the gain per cent. **

**Answer**

**7. The selling price of a computer was fixed at Rs 32200 so as to give a profit of 15%. During a sale the price of the same computer was reduced to Rs 29960. Calculate the actual profit or loss during the sale. **

**Answer**

Initial S.P. of a computer = Rs 32200

**8. A dealer sells two refrigerators for Rs. 37500 each. On one he makes a profit of 25% while on the other he makes a loss of 25%. Calculate his overall loss or profit percentage in the transaction. **

**Answer**

**9. A briefcase was sold at a profit of 10%. If its cost price was 5%less and it was sold for Rs 120 more, he gain would have been 20%. Find the cost price of the briefcase. **

**Answer**

**10. A shirt was sold for Rs 1265 at a gain of 15%. Had the selling price been Rs 55 more, the gain would have been 20%. Find the cost price of the shirt. **

**Answer**

**11. A trader mixes 200 kg of sugar at Rs. 18 per kg with 100kg of sugar at Rs 22 per kg. He then sells the sugar at Rs 20 per kg. Find his profit percent. **

**Answer**

**12. By selling 12 glasses for Rs. 600 a shopkeeper makes a profit of 25%. Find his profit or loss per cent when he sells 15 glasses for Rs 540.**

**Answer**

**13. The difference between selling an article at 8% profit and at 12% profit is Rs 72. Find the cost price of the article and also the two selling prices. **

**Answer**

**14. Akhil sells a painting worth Rs. 50000 to B at a profit of 15%. After some time B sells it back to Akhil at a loss of 15%. Find Akhil’s loss or gain percent overall. **

**Answer**

**15. A man sells 4 identical kites for Rs 12 and makes a profit of 20%. If he sells 6 such kites for Rs 24, find his gain or loss percent. **

**Answer**

**16. By selling 80 bananas for Rs 240 a fruit seller loses 25%. How many bananas should he sell for Rs. 100 to gain 25%. **

**Answer**

**17. Satish sells a washing machine for Rs 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine. **

**Answer**

**18. A fruit vendor bought 60 kg of apples at Rs 90 per kg. He sold 40 kg of the apples at a loss of 10%. At what per kg should he sell the remaining apples so as to gain 25% on the whole. **

**Answer**

**19. Rohit purchased a TV for Rs 15,000 and sold it at 20% above the cost price. If the selling price includes Rs. 1000 as tax, find his net profit and profit percent.**

**Answer**

**20. Two oils A and B are mixed in the ratio 3 : 2. The cost price of oil A and B are Rs 300 per litre and Rs 400 per litre respectively. If one-fourth of the mixture is sold at Rs. 450 per litre and the remaining of the mixture at Rs 500 per litre, find the profit percent on the whole. **

**Answer**

**21. A manufacturer sells an article to a dealer at a profit of 10%. The dealer sells to the retailer at a profit of 8% and the retailer sells to the customer at a profit of 5%. If the customer pays Rs 12474 for the article, calculate the cost of manufacturing the same. **

**Answer**

**22. A manufacturer makes a profit of 30% by selling a colour T.V. for Rs 15730. If the cost of manufacturing increases by 30% and the selling price is increased by 20%, find the profit percent made by the manufacturer. **

**Answer**

**23. A man buys two cycles for a total cost of Rs 8000. By selling one cycle at a loss of 20% and the other at a profit of 30%, he makes a profit of Rs 650 on the whole transaction. Find the cost price of each cycle. **

**Answer**

**24. A man bought two transistor radios which cost him Rs 7200. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the transistors is same, find the cost price of each. **

**Answer**

**25. Two bicycles are sold for the same price, gaining 20% on one and losing 20% on the other. Find the cost price of each bicycle, if Rs 180 is lost in the whole transaction.**

**Answer**

**26. A stationer gains 20% by selling pens at 12 for Rs 72. How many pens should he sell for Rs 100 to gain 25%? **

**Answer**

**27. A milkman purchases milk at the rate of Rs 14 per litre and then mixes 40% water to it. Find the profit percent, if he sells the mixture at Rs 16 per litre. **

**Answer**

**28. A bought a cycle and spent Rs 110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs 1188 at 10% profit. How much did A pay for the article? **

**Answer**

**29. 40 unfinished articles were bought for Rs 54400 and Rs 140 per article was spent on their finishing. Find the profit percent made if, one-fourth of these articles were sold at Rs 2100 each and the rest for Rs 1800 each. **

**Answer**

**30. A briefcase was sold at a profit of 15%. If its cost price was 5% less and it was sold for Rs 35 less, the gain would have been 20%. Find the cost price of the briefcase. **

**Answer**

**31. A certain number of eggs are bought at 4 for Rs 5 and an equal number at 9 for Rs 10. If 15% were broken in transaction and remaining were sold at 2 for Rs 3, find the profit percent and the number of eggs of each kind bought, if Rs 510 were gained on the whole. **

**Answer**

**32. The net difference between selling a shirt at a profit of 10% and 15% is Rs 80. What are the selling prices ? **

**Answer**

**Exercise 2.3 **

**1. Find the SP in the following: **

**(a) MP = Rs 850, Discount = 16% **

**(b) MP = Rs 5500, Discount = 30% **

**Answer**

**(a)**

**2. Find the MP in the following: **

**(a) SP = RS 1892, Discount = 14% **

**(b) SP = Rs 1245, Discount = 17% **

**Answer**

(a)

**3. Find the discount percentage in the following: **

**(a) MP = Rs 1500, SP = Rs 1320**

**(b) MP = Rs 6840, SP = Rs 5814 **

**Answer**

(a)

**4. Find the amount paid by a customer when he buys a watch priced at Rs 5400 available at a discount of 12%. **

**Answer**

**5. A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs. 150? **

**Answer**

**6. A tradesman sells his good at 10% discount. What price should he mark on an article that costs him Rs. 2400, to gain 12.5% ? **

**Answer**

**7. A shopkeeper allows 20% discount on his article. What price must he mark on an article, which costs him Rs 1750, to make a profit of 20% ? **

**Answer**

**8. A dealer is selling an article marked Rs 8000 at a discount of 15%. Find the selling price of the article and the cost price if the marked price is 25% above the cost price.**

**Answer**

**9. A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs 4200, what should be the marked price ? **

**Answer**

**10. A shopkeeper marks the price of an article at Rs 1200. Find, in each case, the selling price, if he allows: **

**(a) two successive discounts of 15% and 10%. **

**(b) three successive discounts of 10%, 8% and 5%. **

**Answer**

**11. The list price of a mobile is Rs 4000. A customer gets two successive discounts, the first being 10%. Calculate, in percentage, the second discount, if the customer pays Rs 3060 for it. **

**Answer**

**12. Find which of the following discount series is better for the customer: **

**(a) 25%, 20% and 15%; **

**(b) 20%, 20% and 20% **

**Answer**

(a)

**13. Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence, find the selling price of an article marked at Rs. 2500.**

**Answer**

**14. The list price of a watch is Rs 4000. It is available either at 25% flat discount or at successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer. **

**Answer**

**15. The marked price of a sofa set is Rs 36000 and is available in Guwahati at 20% discount. A shopkeeper from Delhi buys this article in Guwahati and spends Rs 1500 on his travelling and Rs 1200 on the transportation etc. of the article. Find the profit percent made by the shopkeeper, if he sells the article in Delhi at the **

**(a) marked price**

**(b) 5% discount. **

**Answer**

**16. A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain percent altogether. **

**Answer**

**17. A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of this stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether. **

**Answer**

**18. A trader allows a discount of 12% on the marked price of the goods in his shop. He still makes a gross profit of 21% on the cost price. Find the profit percent he would have made, had he sold the goods at the marked price. **

**Answer**

**19. A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price. **

**Answer**

**20. A dealer marks his goods 45% above the cost price and then allows 20% discount on it. What is the cost price of an article on which he gains Rs 960?**

**Answer**

**21. A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs 575 ? **

**Answer**

**22. A publisher gives his distributor a discount of 30% on the printed price of the books. The distributor sells those books to a bookseller at 23% discount on the printed price and the bookseller sells these books at their printed price. Find the profit percent made by distributor and the bookseller. **

**Answer**

**23. The catalogue price of a laptop is Rs 43200. If it is sold at a discount of 16% of the catalogue price, a gain of 26% is made. Find gain or loss percent if it is sold for Rs 9000 below the catalogue price. **

**Answer**

**24. Gurmeet sells an article priced at Rs 25,000. He gives a discount of 8% on the first Rs 20,000 and 5% on the remaining amount. Manjeet also sells another article of the same kind priced at Rs. 25,000. He gives a discount of 6% on the total price. Calculate the actual price charged by Gurmeet and Manjeet for the articles. **

**Answer**

**25. An article costs Rs 2000 to a manufacturer who lists price at Rs 2500. He sells it to a trader at a discount of 5%. The trader gets a further discount of 5% for cash payment. Find the amount that the trader pays to the manufacturer and the profit percent that the manufacturer makes on the sale.**

**Answer**

**26. A firm dealing in computers, allows 5% discount on the marked price of each system. What price must be marked on a computer set which costs Rs 20,000 to assemble, so as to make a profit of 25% ? **

**Answer**

**27. The cost of production of a video game is Rs 5200. This is divided between material, labour and overheads in the ratio 5 : 6 : 2. If the video game is marked at a price that gives a 30% profit, find the marked price. If the cost of material, labour and overheads increased by 40%, 30% and 10% respectively, calculate the cost of manufacturing the video game now and the marked price so as to get the same percentage as before. **

**Answer**

**Exercise 2.4 **

**1. Find S.P. in the following :**

**(i) M.P. = Rs 850, Discount = 16% **

**(ii) M.P = Rs 5500, Discount = 30% **

**(iii) M.P. = Rs 1625, Discount = 12% **

**Answer**

(i)

(ii)

(iii)

**2. Find the M.P. in the following : **

**(i) S.P = Rs 1892, Discount = 14% **

**(ii) S.P = Rs 1245, Discount = 17% **

**(iii) S.P. = Rs 5343, Discount = 22% **

**Answer**

(i)

(ii)

(iii)

**3. Find the discount percentage in the following:**

**(i) M.P = Rs 1500, S.P. = Rs 1320 **

**(ii) M.P = Rs 6840, S.P. = Rs 5814 **

**(iii) M.P = Rs 1960, S.P = Rs 1176 **

**Answer**

(i)

(ii)

(iii)

**4. Find the amount paid by a customer when he buys a watch priced at Rs 5400 available at a discount of 12%. **

**Answer**

**5. Levi’s having a sale where everything is a discount of 30%. How much would a pair of jeans priced at Rs 1750 cost ?**

**Answer**

**6. A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs 150 ? **

**Answer**

**7. A mobile phone is marked at Rs 12000. A discount of 20% is given on the marked price. What is the net selling price ? **

**Answer**

**8. A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs 2400, to gain 12.5% ?**

**Answer**

**9. A shopkeeper allows 20% discount on his article. What price must he mark on an article, which costs him Rs 1750, to make a profit 20%? **

**Answer**

**10. A dealer is selling an article marked Rs 2000 at a discount of 20%. Find the selling price and the cost price of if he makes a profit of 25%. **

**Answer**

**11. A dealer is selling an article marked Rs 8000 at a discount of 15%. Find the selling price and the cost price if the marked price is 25% above the cost price. **

**Answer**

**12. A shopkeeper allows a discount of 12.5% on the marked price and makes a profit of 20%. If the cost price is Rs 4200, what should be the marked price ? **

**Answer**

**13. Find the single discount which is equivalent to successive discounts of 20%, 15% and 10%. **

**Answer**

**14. Find the single discount which is equivalent to successive discounts of 10%, 8% and 5%. **

**Answer**

**15. Find the single discount which is equivalent to successive discounts of 20%, 10% and 5%. Hence find the selling price of an article marked at Rs 2500. **

**Answer**

**16. A shopkeeper allows two successive discounts of 10% and 15% on his articles. If he gets Rs 2295 for an article, find its marked price. **

**Answer**

**17. The marked price of a shirt is Rs 800. Find the selling price, if he allows successive discounts of 15%, 10% and 8%. **

**Answer**

**18. The list price of a watch is Rs 4000. It is available either a 25% flat discount or at a successive discounts of 15% and 12%. Calculate the better offer and the amount paid in the second offer. **

**Answer**

**19. A trader fixes the selling price of his goods at 50% above the cost price. He sells half of his stock at this place, a quarter of his stock at a discount of 20% on the original selling price, and the rest at a discount of 36% on the original selling price. Find the gain percent altogether. **

**Answer**

**20. A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether. **

**Answer**

**21. A man fixes the selling price of his goods at 50% above the cost price. He sells one-third of his stock at this price, one-third of his stock at a discount of 20% on the original selling price, and the rest at a discount of 40% on the original selling price. Find the gain percent altogether. **

**Answer**

**22. A tradesman fixed the selling price of his goods at 40% above the cost price. He sells half his goods at this price, one-fourth of his stock at a discount of 15% on the original selling price, and the rest at a discount of 25% on the original selling price. Find the gain percent altogether. **

**Answer**

**23. A trader allows a discount of 12% on the marked price of the goods in his shop. He still makes a gross profit of 21% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price. **

**Answer**

**24. A trader allows a discount of 15% on the marked price of the goods in his shop. However, he still makes a gross profit of 36% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price. **

**Answer**

**25. A dealer marks his goods 45% above the cost price and then allows 205 discount on it. What is the cost price of an article on which he gains Rs 960? **

**Answer**

**26. A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs 575 ? **

**Answer**

**27. A shopkeeper allows 20% discount on the advertised prices of his goods and still makes a profit of 12% on his cost price. Calculate the advertised price of an article on which he gains Rs 135? **

**Answer**

**28. A publisher gives his distributors a discount of 30% on printed price of the books. The distributor sells those books to a book seller at 23% discount on the printed price and the book-seller sells these books at their printed price. Find the profit percent made by the distributor and the book-seller. **

**Answer**

**29. The catalogue price of a Sony TV is Rs 43200. If it is sold at a discount of 16% of the catalogue price, a gain of 26% is made. Find the gain or loss percent if it is sold for Rs 9000 below the catalogue price. **

**Answer**

**30. The catalogue price of an article is Rs 3600 and a manufacturer sells it to the distributor at 20% off the catalogue price. The distributor sells it to the retailer at 10% off the catalogue price. What profit percent is made by the retailer, if he sells the articles to a customer at catalogue price? What profit percent is made by the manufacturer, if the catalogue price is 44% above its lost? **

**Answer**

**31. Find the difference between a single discount of 40% and two successive discounts of 36% and 4% on Rs 5000.**

**Answer**

**32. The difference between a discount of 30% and two successive discounts of 20% and 10% is Rs 144. Find the list price of the article. **

**Answer**

**33. A retailer buts a washing machine marked at Rs 4800 and gets two successive discounts of 15% and 5%. He spend Rs 124 on transportation and sells it at a gain of 13%. Find the selling price of the machine. **

**Answer**

**34. The printed price of a book is Rs 320. A retailer pays Rs 244.80 for it. He gets successive discounts of 10% and another rate. What is the second rate? **

**Answer**

**35. Two dealers A and B selling the same model of refrigerator mark them under the same selling price. A gives successive discount of 25% and 5% and B gives successive discounts of 10% and 20%. From whom is it more advantageous to purchase the refrigerator? **

**Answer**