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A and B invest in a business in the ratio of 10:7. After $T$ months, B invests 40% more, while A withdraws 50%. If at the end of the year, the ratio of their profit shares is 95:98, find the value of $T$.
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- 5
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- 7
Correct answer: 7
Solution
Profit is divided in the ratio of capital multiplied by time. Before $T$ months, A:B = 10:7; after that, A contributes half and B contributes 1.4 times their original amounts. Equating the total contribution ratio to 95:98 gives $T=7$.
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