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?
Answer & explanation
Correct answer: option 1
Let number is = 10x
Wrongly multiplied by \(\frac{7}{5}\) . So , number we get =
= \(\frac{7}{5}\) × 10x = 14x
In actual it should be multiplied by \(\frac{3}{2}\) . So , desired number =
= \(\frac{3}{2}\) × 10x = 15x
Difference = 15x - 14x = 1x
Percentage error = \(\frac{1x}{15x}\) × 100
= \(\frac{1}{3}\) × 20
= 6\(\frac{2}{3}\)%