A, B and C denote 8%, 7% and 9%, of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is Rs.259. The total donation of A and B is Rs.1,185 more than that of C. The total donation of A and C is what percentage of the total salaries of A, B and C? (Correct to one decimal price)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 5.8%.
| Understanding/Application |
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Let the salaries of A, B, and C be a, a, and c respectively. Donation of A, B, and C are 0.08x, 0.07x, and 0.09y 0.08x - 0.07x = 259 x = 259/0.01 = 25900 Total donation of A and B = Donation of C + 1185 0.08x + 0.07x = 0.09y + 1185 0.15x = 0.09y + 1185 0.09y = 0.15(25900) - 1185 0.09y = 2700 y = 2700/0.09 = 30000 |
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Total donation of A and C = 0.08x + 0.09y = 0.08(25900) + 0.09(30000) = 2072 + 2700 = 4772 Total salaries of A, B, and C = 25900 + 25900 + 30000 = 81800 Thus, the percentage = [(4772 × 100)]/81800 = 5.8% |