Question

A boy was asked to find the value of 7/12 of a sum of money. Instead of multiplying the sum by 7/12 he divided it by 7/12 and thus his answer exceeded the correct answer by ₹95. Find the correct answer.

Answer 1

Let the original no be x.
$\frac{7}{12}$ of x=$\frac{7x}{12}$
$\frac{12}{7}$ of x=$\frac{12x}{7}$
Given ,
$\frac{12x}{7}$-$\frac{7x}{12}$=195
⇒$\frac{(12x*12-7x*7)}{84}$=195
⇒$\frac{144x-69x}{84}$=195
⇒$\frac{75x}{84}$=195
⇒x=$\frac{195*84}{75}$
⇒x=212.4
⇒Correct answer:212.4 * $\frac{7}{12}$=123.9
Ans:The correct answer is 123.9.