Question

A is 40% less than B and C is 50% of the sum of A and B. The difference between A and B is what percentage of C?
1. 50%
2. 40%
3. 30%
4. 60%

Answer 1

Correct Answer - Option 1 : 50%

Given:

A = 40% less than B

C = 50% of sum of A and B

Calculation:

Let the value of B be 100x

⇒ A = 100x × (60/100) = 60x

C = 50% of (60x + 100x)

⇒ 50% of 160x = 80x

Difference of A and B = 100x – 60x = 40x

Percentage difference with respect of C = (40x/80x) × 100% = 50%

∴ The difference between A and B is 50% of C