SSC CHSL 2024 PYQ — Question 57

The correct answer is option 3 i.e. 70000.

Let the monthly income = X

Given that

Amount spent on food = $\frac{35}{100}$ × X

Remaining income = $\frac{65}{100}$ × X

Amount spent on transport = $\frac{4}{13}$ of remaining income = $\frac{4}{13}$ × $\frac{65}{100}$ × X = $\frac{X}{5}$

Amount saved = 6300 = 20% of the balance remaining just after spending on food and transport

The balance remaining just after spending on food and transport = X - ($\frac{35}{100}$X + $\frac{X}{5}$)

According to the question;

6300 = $\frac{20}{100}$ [X - ($\frac{35}{100}$X + $\frac{X}{5}$)]

Solving for X we get

⇒ 31500 × 20 = 9X

⇒ X = 70000

Hence, his monthly income is Rs. 70000.