Question

Gayatri’s income is$₹1,60,000$ per year. She pays $15\%$ of this as house rent and $10\%$ of the remainder on her child’s education. The money left with her is

• A. $1,36,000$
• B. $1,20,000$
• C. $1,22,400$
• D. $14000$

Answer 1

The correct option is C

$1,22,400$

Solve for the money left with Gayatri

Given,

1. Gayatri’s income per year is $₹1,60,000$
2. Amount paid for house rent is $15\%$ of income
3. Amount paid for child education is $10\%$ of $($income $-$house rent$)$

Amount paid for house rent $=\frac{15}{100}\times \left(1,60,000\right)=₹24,000$

Amount paid for child education $=\frac{10}{100}\times \left(1,60,000-24,000\right)=\frac{10}{100}\times 1,36,000=₹13,600$

$\therefore$ Money left with Gayatri $=$Income$-$$($house rent $+$ child's education$)$

$$\begin{gathered} =1,60,000-\left(24,000+13,600\right) \\ =1,60,000-37,600 \\ =1,22,400 \end{gathered}$$

Hence, the amount left with Gayatri is $₹1,22,400$