Mr. More spent 20\% of his monthly income on food and 15\% on children's education. 40\% of the remaining he spent on entertainment and transport together and 30\% on medical. He is left with an amount of ₹ 8775 after all these expenditures. What is Mr. More's monthly income?
(a)₹ 35000
(b)₹ 38000
(c)₹ 40000
(d)₹ 42000
(e)None of these
Answer
Answer (as printed): E
Explanation
Let Mr. More's monthly income be ₹ $x$. Then, $[100-(40+30)] \%$ of $[100-(20+15)] \%$ of $x=8775$ $$\begin{aligned} & \Rightarrow \quad 30 \% \text { of } 65 \% \text { of } x=8775 \\ & \Rightarrow \quad\left(\frac{30}{100} \times \frac{65}{100} \times x\right)=8775 \\ & \Rightarrow \quad \frac{39}{200} x=8775 \Rightarrow x=\left(\frac{8775 \times 200}{39}\right)=45000 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.