SSC CPO 2022 PYQ — Question 146

SSC CPO - 9 Nov 2022 - Shift 1 • Quantitative Aptitude • Q146

A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit. He claims that he is selling on the cost price in front of the customers but uses a faulty weight. How much error is there in the 2 kg weight to gain 25%?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 400 g.

Given that

A seller uses faulty weight in place of a 2 kg weight and earns a 25% profit

He claims that he is selling on the cost price but using faulty weight

Let the error be n

Formula used

Profit % = [Error/(True weight - Error)] × 100

Calculation

25 = [n/(2000 - n)] × 100

n/(2000 - n) = 25/100 = 1/4

4n = 2000 - n

5n = 2000

n = 2000/5 = 400 g