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 he altogether spent Rs.180. Find the salary of the man.

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

Answer 1

The correct option is A Rs. 400

Let salary of the man be Rs. 100x
$\therefore$ He spent in the first week = Rs. 25x
$\therefore$ The remainder = Rs. 100x - Rs. 25x = Rs. 75x
$\therefore$ He spent in the 2nd week = $26\frac{2}{3}\%$ of the remainder
$=\frac{80}{3}\times \frac{1}{100}$ of Rs. 75x
= Rs. 20x
$\therefore$ He altogether spent = Rs. 25x + Rs. 20x = Rs. 45x
By the problem,
45x = 180 or, $x=\frac{180}{45}=4$
$\therefore$ 100x = 100$\times$4 = Rs. 400
$\therefore$ The salary of the man = Rs. 400