# Profit and Loss Quiz Set 009

### Question 1

When 14 items are sold at an amount of Rs. 72, a loss equal to the cost of 6 items is incurred. What is the cost of one item?

A

Rs. 9.

B

Rs. 10.

C

Rs. 11.

D

Rs. 8.

Soln.
Ans: a

Let the cost per item be c. Then loss = 6c. So we can write 14c - 72 = 6c. Solving we get c = Rs. 9.

### Question 2

A retailer buys an item of marked price Rs. 2400 at a discount of 10%. What will be his profit percentage(approx.) when he sells it at the marked price?

A

11% (approx.).

B

21% (approx.).

C

6% (approx.).

D

16% (approx.).

Soln.
Ans: a

The discount is 10 % of 2400 = \${10 × 2400}/100\$ = Rs. 240. The cost to the retailer is \$2400 - 240\$ = Rs. 2160. The discount that he gets from the wholesaler becomes his profit = Rs. 240. So Profit% = \${240 × 100}/2160\$ = 11%(approx.).

### Question 3

Goods are purchased at a cost price of Rs. 500 and sold at a loss of 5%. What is the sale price?

A

Rs. 475.

B

Rs. 476.

C

Rs. 474.

D

Rs. 477.

Soln.
Ans: a

The loss in rupees is cost × 5%. Which is \${500 × 5}/100\$ = Rs. 25. So the sale price is cost - loss = 500 - 25 = Rs. 475.

### Question 4

The cost price of 165 items is same as the sale price of N items. If the profit is 32%, then what is N?

A

125.

B

126.

C

124.

D

127.

Soln.
Ans: a

Let the cost per unit be r. CP of N items is rN, and SP of N items is already given to us as 165r. Profit percent is \${{165r - rN}/{rN}} × 100\$ = 32. Cancelling r, and solving for N we get N = 125.

### Question 5

The total cost of two cows is Rs. 1200. The owner sells the first cow at a profit of 45%, and the second one at a loss of 5%. If he sells them at the same price, what are the costs of the two cows?

A

Rs. 475 and 725.

B

Rs. 575 and 625.

C

Rs. 425 and 775.

D

Rs. 237 and 963.

Soln.
Ans: a

Let the costs of the cows be C and 1200 - C. The sale price is given as same. So (100 + 45) × C = (100 - 5) × (1200 - C). Simplifying, we get 145 × C = 95 × (1200 - C). Solving for C we get, C = Rs. 475. The cost of the other cow is 1200 - 475 = Rs. 725.