Question

A man spent 25 % of his salary in the first week and $26\frac{2}{3}$ % of the remainder in the second week and found that his overall expenditure was ₹180. Find his salary.

• A. ₹ 400
• B. ₹ 500
• C. ₹ 650
• D. ₹ 700

Answer 1

The correct option is A

₹ 400

Let salary of the man be ₹ 100x
Amount he spent in the first week = ₹ 25x
Amount remaining = ₹ 100x - ₹ 25x = ₹ 75x
Amount he spent in the second week = $26\frac{2}{3}\%$ of ₹ 75x
$=\frac{80}{3}\times \frac{1}{100}\times 75x$
= ₹ 20x
Overall expenditure = ₹ 25x + ₹ 20x = ₹ 45x
According to the problem,
45x = 180 or, x = $\frac{180}{45}$ = 4
$⟹$100x = 100 $\times$ 4 = ₹ 400
$\therefore$ The salary of the man = ₹ 400