Question

A number is mistakenly multiplied by 7/5 instead of being multipiled by 3/2, what is the percentage change in the result due to this mistake?
1. \(3\frac{2}{3}\% \)
2. \(5\frac{2}{3}\% \)
3. \(6\frac{2}{3}\% \)
4. \(7\frac{2}{3}\% \)

Answer 1

Correct Answer - Option 3 : \(6\frac{2}{3}\% \)

Calculation:

Let number be N.

⇒ N × 7/5 = 7N/5

⇒ N × 3/2 = 3N/2

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