SSC CPO 2022 PYQ — Question 148

SSC CPO - 9 Nov 2022 - Shift 3 • Quantitative Aptitude • Q148

What will be the actual profit percentage (rounded off to the nearest integer) after selling an article at a certain price, while there occurs a loss of 45% on selling the article at 38\frac{3}{8} of the selling price?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 47%.

Given that

An article occurs a loss of 45% on selling the article at 38\frac{3}{8} of the selling price

Let the cost price of the article be 100 units

We know that,

Selling price = loss% × Cost price

Profit % = [(S.P. - C.P.)/C.P.] × 100

According to the question

Loss = 45%

Selling price = 0.55 × 100 = 55 units

Now, the original selling price = 55 × 8/3 = 146.66 units ≈ 147 units

Hence, Actual profit % = [(147 - 100)/100] × 100 = 47 %