Question
A, B, and C started a business with a total investment
of Rs. 8000, distributed in the ratio 1:4:3. After five months, A added Rs. n to his initial investment, while C withdrew Rs. n. If the total profit for the year was Rs. 5000 and A's share of the profit was Rs. 2200, find the value of n.Solution
A’s initial investment = 1/8 * 8000 = 1000 B’s initial investment = 4/8 * 8000 = 4000 C’s initial investment = 3/8 * 8000 = 3000 Profit ratio of A, B and C = (1000 * 5 + (1000 + n) * 7): (4000 * 12): (3000 * 5 + (3000 – n) * 7) = (12000 + 7n): 48000: (36000 – 7n) (12000 + 7n)/(12000 + 7n + 48000 + 36000 – 7n) * 5000 = 2200 (12000 + 7n)/(12000 + 7n + 48000 + 36000 – 7n) = 2200/5000 (12000 + 7n)*50 = 22*(96000) 350n = 350 n = 1512000 => n = 4320
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