Question : The monthly salaries of A and B are the same. A, B, and C donate 10%, 8%, and 9% respectively, of their monthly salaries to a charitable trust. The difference between the donations of A and B is Rs. 400. The total donation by A and B is Rs. 900 more than that of C. What is the monthly salary of C?
Option 1: INR 25,000
Option 2: INR 30,000
Option 3: INR 27,000
Option 4: INR 36,000
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Correct Answer: INR 30,000
Solution :
Given:
The salary of A and B are the same
Money donate by A = 10%
Money donate by B = 8%
Money donate by C = 9%
The difference between the donations of A and B = Rs. 400
The total donation by A and B is Rs. 900 more than that of C
Let the salary of A and B be $100x$ each and C be $100y$.
⇒ Money donate by A = $100x × \frac{10}{100} = 10x$
⇒ Money donate by B = $100x × \frac{8}{100} = 8x$
⇒ Money donate by C = $100y × \frac{9}{100} = 9y$
According to the question,
⇒ $10x – 8x = 400$
⇒ $2x = 400$
⇒ $x = 200$
Total donation of A and B = $10x + 8x = 18x$
= 18 × 200 = 3600
The total donation by A and B is Rs. 900 more than that of C
⇒ $3600 – 9y = 900$
⇒ $9y = 2700$
⇒ $y = 300$
Monthly Salary of C = $100y$ = 100 × 300 = Rs. 30000
Hence, the correct answer is INR 30,000.
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