Multiple choice

The ratio of investment made by two partners is 7 : 8 and the ratio of their profits is 4 : 3. If 'A' invested the money for 6 months, then for how long did 'B' invest his money?

  1. 63/16 months

  2. 63/11 months

  3. 63/12 months

  4. 61/16 months

  5. None of these
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A Correct answer
Explanation

Profit ratio = (Investment A * Time A) / (Investment B * Time B). Given 4/3 = (7 * 6) / (8 * T). Solving for T: 4/3 = 42 / (8 * T) -> 32T = 126 -> T = 126/32 = 63/16.

AI explanation

The partnership formula states that the ratio of profits equals the ratio of the product of investments and time periods, so 4/3 equals (7 times 6) divided by (8 times time of B). Solving this equation, 4/3 equals 42 divided by 8 times time of B, which means 32 times time of B equals 126. The time of B equals 126 divided by 32, which simplifies to 63/16 months. The correct answer is 63/16 months.

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