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. 1,80,000 for himself. What was Mr. Manohar's income ?

Answer 1

Let Mr. Manohar's income be Rs x.
Money given to elder son = 20% of x = $\frac{20}{100}x$
Money given to younger son = 30% of x = $\frac{30}{100}x$
Balance = $x-\frac{20x}{100}-\frac{30x}{100}=\frac{50}{100}x$
Donation = 10% of balance = $\frac{10}{100}\left(\frac{50}{100}x\right)=\frac{5x}{100}$
Money left = Rs 1,80,000
Total income = Money to elder son + money to younger son + donation + money left
$$\begin{gathered} \frac{30}{100}x+\frac{20}{100}x+\frac{5}{100}x+1,80,000=x \\ \Rightarrow \frac{55}{100}x+1,80,000=x \\ \Rightarrow x-\frac{{\displaystyle 55}}{{\displaystyle 100}}x=1,80,000 \\ \Rightarrow \frac{45}{100}x=1,80,000 \\ \Rightarrow x=4,00,000 \end{gathered}$$
Thus, Mr. Manohar's income is Rs 4,00,000.