Question

A man donates 20% of his monthly salary to an NGO, shares 15% of the remaining to his wife. If the difference between the donated sum and the sum given to his wife is Rs. 2000, then find his monthly salary.
1. Rs. 25000
2. Rs. 20000
3. Rs. 30000
4. Rs. 15000

Answer 1

Correct Answer - Option 1 : Rs. 25000

Given:

Sum donated to NGO = 20% of monthly salary of the man

Sum shared with his wife = 15% of (total monthly salary - 20% of monthly salary of the man)

Sum donated to NGO - Sum shared with his wife = Rs. 2000

Formula used:

X% of Y = XY/100

Calculation:

Let monthly salary be Rs,. x

Sum donated to NGO = 20x/100 = x/5

Remaining salary = x - x/5

⇒ 4x/5

Sum shared with his wife = (15/100) × (4x/5)

⇒ 3x/25

So,

(x/5) - (3x/25) = 2000

⇒ 2x/25 = 2000

⇒ x = 25000

∴ Monthly salary is Rs. 25000.