# Profit and Loss Quiz Set 006

### Question 1

When 13 items are sold at an amount of Rs. 49, a loss equal to the cost of 6 items is incurred. What is the cost of one item?

A

Rs. 7.

B

Rs. 8.

C

Rs. 9.

D

Rs. 6.

Soln.
Ans: a

Let the cost per item be c. Then loss = 6c. So we can write 13c - 49 = 6c. Solving we get c = Rs. 7.

### Question 2

A profit of 20% is made by selling an article at Rs. 120. What is the cost of the article?

A

100.

B

110.

C

120.

D

95.

Soln.
Ans: a

Build it like this: if the sale is 120, the cost is Rs. 100. So, when the sale is 120 the cost should be \${100/120} × 120\$ = Rs. 100.

### Question 3

A loss of 30% is made by selling an article at Rs. 210. What is the cost of the article?

A

300.

B

310.

C

320.

D

295.

Soln.
Ans: a

Build it like this: if the sale is 100 - 30 = 70, the cost is Rs. 100. So, when the sale is 210 the cost should be \${100/70} × 210\$ = Rs. 300.

### Question 4

The cost price of 290 items is same as the sale price of N items. If the profit is 45%, then what is N?

A

200.

B

201.

C

199.

D

202.

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 290r. Profit percent is \${{290r - rN}/{rN}} × 100\$ = 45. Cancelling r, and solving for N we get N = 200.

### Question 5

What should be the marked price of an item if a profit of 125% is to be made after allowing a discount of 25%?

A

Rs. 300.

B

Rs. 310.

C

Rs. 290.

D

Rs. 320.

Soln.
Ans: a

If the cost is 100, the sale price would be 100 + 125 = Rs. 225. If M is the marked price, then sale price is (100 - 25)% of M = 225. Which gives 75M/100 = 225, which gives M = Rs. 300