Correct option is D
- The problem states: 30% of A + 40% of B = 80% of B. We need to find what percentage of A is B.
- 30% of A = 0.3A
- 40% of B = 0.4B
- 80% of B = 0.8B
- Thus, 0.3A + 0.4B = 0.8B.
- Simplify:
- 0.3A = 0.8B - 0.4B
- 0.3A = 0.4B
- A = (0.4/0.3)B = (4/3)B.
- To find what percentage B is of A:
- B/A = 3/4.
- As a percentage, (3/4) × 100 = 75%.
- Verify: If B = 3/4 A, then 30% of A = 0.3A,
- 40% of B = 0.4 × (3/4)A = 0.3A,
- and 80% of B = 0.8 × (3/4)A = 0.6A.
- Thus, 0.3A + 0.3A = 0.6A, which satisfies the equation.
