21-10-2021 Answers

 1. Choose the option to fill in the blanks.

A discount series of 10%, 20% and 40% is equal to a single discount of _ .

Answer: 56.8%

Solution: Let price be x. Final price = x * 0.9 * 0.8 * 0.6 = 0.432x.

Hence effective discount = 1 - 0.432x = 0.568x. As % it is 56.8%

2. By selling an article for Rs.21, a man lost such that the percentage loss was equal to the cost price. The cost price of the article was

Answer: Rs.70

Solution: Let c.p be x. Loss = x-21

100 * (x-21)/x = x, Solving x=30 or 70.

3. The C.P of 15 articles is equal to the S.P of 10 articles. Find the percentage of the profit.

Answer: 50%

Solution: 15*c.p = 10*s.p, s.p = 1.5c.p

Profit = 0.5c.p, Gain % = 100 * 0.5c.p/c.p = 50%

4. Two articles are bought at the same price. One is sold at 20% profit and the other is sold at 10% loss. Find the overall profit/loss percentage.

Answer: 5% profit

Solution: Let C.P of one article be x.

Total C.P = 2x

Total S.P = 1.2x + 0.9x = 2.1x. Hence Profit = 0.1x

Profit % = 100 * 0.1x/2x = 5%

5. A buys an article for Rs. 30 and sells it for Rs. 45. Find his gain percent.

Answer: 50%

Solution: Profit = 45-30 = 15

Gain % = 100* Profit/C.P

= 100 * 15/30 = 50%

6. A man buys 5 shirts for Rs. 600 and sells 4 shirts for Rs. 440. Find percent loss/profit.

Answer: 8(1/3)% loss

Solution: C.P of 1 shirt = 600/5 = Rs.120

S.P of 1 shirt = 440/4 = Rs.110

Loss = 120-110 = 10

Loss % = 100 * 10/120 = 100/12 = 8(1/3)%

7. A shop keeper marks the price of his  goods at 25% higher than the cost price and then offers a discount of 12%. What profit or loss did he make?

Answer: 10% profit

Solution: Let cost price be x.

Final selling price = 1.25x * 0.88 = 1.1x

Hence profit % = 100 * 0.1x/x = 10%

8. Akash sells a book at 20% loss for Rs. 320. Find its cost price.

Answer: Rs.400

Solution: Let C.P be x.

As loss is 20%,

x * 80/100 = 320,

x = 3200/8 = 400.

9. A buys an article for Rs. 400 and sells it at 15% profit. Find its selling price.

Answer: Rs.460

Solution: S.P = 400 * 1.15 = 460

10. If the cost price of 25 tables equals the selling price of 20 tables. Find the profit percent.

Answer: 25% profit

Solution: 25C.P = 20S.P,

S.P = 1.25C.P

Profit = 0.25C.P

Profit % = 100 * 0.25C.P/C.P = 25%

11. A trader marks his goods 25% above the cost price. He sells it at 20% above the marked price. What is the resultant total profit per cent?

Answer: 50%

Solution: Marked Price = 1.25C.P

S.P = 1.2 * 1.25C.P = 1.5C.P

Hence profit = 0.5C.P

Profit % = 100 * 0.5C.P/C.P = 50%

12. A man buys a table for Rs.600 and sells it at a profit of Rs.120. Find percent gain

Answer: 20%

Solution: Gain % = 100 * Profit/C.P

= 100 * 120/600 %

= 20%

13. An article is marked up by 35%. What should be the discount percentage so that the profit is 20%?

Answer: 11(1/9)%

Solution: S.P = 1.35C.P

After discount, S.P = 1.2C.P

So reduction %= 100 * 0.15C.P/1.35C.P = 1500/135 = 100/9 = 11 1/9 %

14. A man gets back the amount he had invested in buying 100 radios by selling 65 of them. What is his profit percentage?

Answer: 53(11/13)%

Solution: 100*C.P = 65*S.P,

S.P = 100*C.P/65

Profit = S.P - C.P = 100*C.P/65 - C.P = 35*C.P/65 = 7*C.P/13

Profit % = 100 * 7*C.P/13/C.P = 700/13 = 53 11/13%

15. A man got 5 candies for 2 Rs. How many candies should he sell per rupee to make a profit percentage of 25%?

Answer: 2

Solution: For 25% profit, 5 candies should be sold at  2 Rs and 50 paise. => Selling price of 1 candy = 50 paise.

So he should sell 2 candies per Rupee.

16. A man sells an article at 10% gain for Rs. 275. What is it cost price?

Answer: Rs. 250

Solution: C.P * 1.1 = 275,

C.P = 275/1.1 = 250

17. Find the cost price of an article which is sold at a loss of 25% for Rs. 150.

Answer: Rs. 200

Solution: C.P * 0.75 = 150,

C.P = 150/0.75 = 200

18. If the cost price is 90% of selling price, what is the profit percentage?

Answer: 11.11%

Solution: C.P = 0.9 S.P, Gain = 0.1S.P

Profit percentage = (0.1 / 0.9)*100 = 11.11% approx

19. A person buys an article at 25% discount and sells it at 5% above the marked price. What percent gain does he make?

Answer: 40%

Solution: Let marked price be x.

C.P = 0.75x

S.P = 1.05x

Profit = 0.3x

Gain % = 100 * 0.3x/0.75x = 30/0.75 = 40%

20. If the difference between selling a shirt at a profit of 10% and 15% is Rs 10, then the cost price is

Answer: Rs. 200

Solution: Let C.P be x.

1.15x - 1.1x = 10, x=200