# Let’s deal with the nuances of profit and loss

Hyderabad: This article is in continuation to the last article on preparation for the Sub-Inspector of Police recruitment exam. Here are some practice questions, answers and explanations on the Profit and Loss topic. 1. A merchant sells his two cars – one at 15% loss and another at 12% profit. If the cost prices of […]

Published Date - 11:19 PM, Sat - 28 May 22

**Hyderabad:** This article is in continuation to the last article on preparation for the Sub-Inspector of Police recruitment exam. Here are some practice questions, answers and explanations on the Profit and Loss topic.

**1. A merchant sells his two cars – one at 15% loss and another at 12% profit. If the cost prices of the two cars are in the ratio of 1:2, what is his percent profit or loss?**

A. 3% profit B. 2% loss

C. 2% profit D. 1.2%loss

Ans: A

**Explanation:**

Given that CPs are in the ratio 1:2

Therefore let the CPs be Rs 100 and Rs 200 respectively,

1st SP = 100 – 15% of 100 = Rs 85

2nd SP = 200 12% of 200 = Rs 224

Total CP = Rs 300 Total SP = 85 224 = Rs 309

Profit = Rs 309 – 300 = Rs 9.

Profit percent = 9 × 100/300 = 3% profit.

**2. The profit earned after selling an article for Rs 675 is twice the loss incurred after selling the article for Rs 435. What is the cost price of the article?**

A. Rs 450 B. Rs 595

C. Rs 400 D. None of the above

Ans: D

**Explanation:**

Let ‘x’ be the CP of the article.

i.e. Rs 675 – x = 2(x-435)

675 – x = 2x – 870

675 870 = 3x, therefore, x = 1545/3 = Rs 515.

**3. A sells an article which costs him Rs 400 to B at a profit of 20%. B then sells it to C, making a profit of 10% on the price he paid to A. How much does C pay B?**

A. Rs 450 B. Rs 500

C. Rs 528 D. Rs 555

Ans: C

**Explanation:**

Given that

Cost price for B = 120% of Rs 400

= Rs (120/100 × 400) = Rs 480

Cost price for C = 110% of Rs 480

= Rs (110/100 × 480) = Rs 528.

**4. A fruit seller sells mangoes at the rate of Rs 9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?**

A. Rs 11.81

B. Rs 13

C. Rs 10

D. Rs 12.81

Ans: A

**Explanation:**

Let selling price be Rs ΄x΄.

Given that there is a loss of 20% by selling the mangoes at the rate of Rs 9 per kg.

To make a profit of 5% he should have sold them to the price of x

Therefore x = (9 × 105) /80 = Rs 11.81

**5. If on selling 12 notebooks, a seller makes a profit equal to the selling price of 4 notebooks, what is his percent profit?**

A. 50 % B. 45% C. 35% D. 36 %

Ans:A

**Explanation:**

Gain% = (profit/ cost price) × 100

Given that profit = 4 and C.P = 8

Then Gain% = ( 4/8 × 100) = 50%

**By Banda Ravipal Reddy**

**Director, SIGMA**

**Sai Institute of General Mental Ability**

**Hyderabad**