Question

The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
1. 72000
2. 75000
3. 73500
4. 72500

Answer 1

Correct Answer - Option 3 : 73500

Given:

Income of A is 45% more than the income of B

Income of C is 60% less than the sum of the incomes of A and B

Income of D is 20% more than that of C

The difference between the incomes of B and D is Rs.13200

Calculation:

Let the income of B = 100 

⇒ Income of A = 100 × 145/100 = 145

Income of C = (100 + 145) × 40/100 = 98

Income of D = 98 × 120/100 = 117.6

The difference between income of D and B = 117.6 - 100 = 17.6

⇒ 17.6 = Rs.13200 

∴ Income of C = 13200 × 98/17.6 = Rs.73500