Question

A’s income is 120% of B’s income and C’s income is 80% of A’s income. If the average income of A, B and C is Rs.3950, what is C’s income?

• A. Rs.3200
• B. Rs.3400
• C. Rs.3600
• D. None of these

Answer 1

The Correct Option is C

To solve the problem of determining C’s income given that A’s income is 120% of B’s income, and C’s income is 80% of A’s income, we start by denoting B’s income as Rs.x. 

Step 1: Calculate A's income.

A's income = 120% of B's income = 1.2x.

Step 2: Calculate C's income.

C's income = 80% of A's income = 0.8 × 1.2x = 0.96x.

Step 3: Express the average income of A, B, and C.

Average income = (A's income + B's income + C's income) / 3 = (1.2x + x + 0.96x) / 3.

Simplifying, we get total income as (1.2 + 1 + 0.96)x = 3.16x.

Thus, (3.16x) / 3 = 3950.

Step 4: Solve for x.

3.16x = 3950 × 3.

3.16x = 11850.

x = 11850 / 3.16.

x = 3750.

Step 5: Calculate C’s income.

C’s income = 0.96x = 0.96 × 3750.

C’s income = Rs.3600.

Hence, C’s income is Rs.3600.