Question

Mr. Manohar gave $20$ part of his income to his elder son and $30$ part to his younger son. He gave $10$ of the balance as donation to a school. He still had $Rs.1,8,000$ for himself. What was Mr Manohar's income?

Answer 1

Let Mr. Manohar's income be $x$

Amount that he gave to his elder son $=20$% of $x=\frac{20x}{100}=\frac{x}{5}$

Amount that he gave to his younger son $=30$% of $x=\frac{30}{100}x=\frac{3x}{10}$

Amount left with Manohar $=x-(\frac{x}{5}+\frac{3x}{10})$

$=x-(\frac{2x}{10}+\frac{3x}{10})$

$=x-\frac{x}{2}=\frac{x}{2}$

Donation given to school $=10$% of $\frac{x}{2}$

$=\frac{10}{100}\times \frac{x}{2}$

$=\frac{x}{20}$

$\therefore$ Balance $=\frac{x}{2}-\frac{x}{20}=\frac{9x}{20}$

So, $\frac{9x}{20}=1,80,000$

$\Rightarrow x=4,00,000$

$\therefore$ Income is $4$ lakhs.