A number is mistakenly multiplied by 7/5 instead of being multiplied by 3/2 . what is the percentage change in the result due to this mistake?

A number is mistakenly multiplied by 7/5 instead of being…

A number is mistakenly multiplied by $\frac{7}{5}$ instead of being multiplied by $\frac{3}{2}$ . what is the percentage change in the result due to this mistake?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6 $\frac{2}{3}$ %

Let number be a.

⇒ a × 7/5 = 7a/5

⇒ a × 3/2 = 3a/2

% change in result = (3a/2 - 7a/5)/3a/2 × 100 = 6.6667% = $6\frac{2}{3}\%$

SSC CHSL 2021 PYQ — Question 56