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?
1. Rs. 30,000
2. Rs. 36,000
3. Rs. 25,000
4. Rs. 27,000

Answer 1

Correct Answer - Option 1 : Rs. 30,000

Given:

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 

Calculations:

Let the salary of A and B be 100x and C be 100y.

Money donate by A = 100x × 10/100 = 10x 

Money donate by B = 100x × 8/100 = 8x 

Money donate by C = 100y × 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 = 30000

∴ Monthly salary of C is Rs. 30000