Discussion
The salary of A, B and C together amounts to Rs.33,300. If they spend 80%, 85% and 75% of their respective incomes, their savings are as 7:6:9. Find the salary of B.
Answer: D
The savings are 20% of A, 15% of B and 25% of C, and they are in the ratio 7 : 6 : 9. Let the savings be 7k, 6k and 9k. Then:
\[A=\tfrac{7k}{0.2}=35k\]\[B=\tfrac{6k}{0.15}=40k\]\[C=\tfrac{9k}{0.25}=36k\]The total salary 111k = Rs 33,300 gives k = 300, so B = 40 x 300 = Rs 12,000, option D.
Check: A earns 10,500, B earns 12,000 and C earns 10,800, which sum to 33,300, and the savings 2,100, 1,800 and 2,700 are in the ratio 7 : 6 : 9.
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