Multiple choice

Person A invests Rs. 9630 for 6 months and another person B invests some amount for 9 months. If the ratio of profit shared after an year is in the ratio of 3 : 5, then find the amount invested by B.

  1. Rs. 10,700

  2. Rs. 12,365

  3. Rs. 23,654

  4. Rs. 32,156

  5. Rs. 13,655
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A Correct answer
Explanation

Profit ratio = (Investment A * Time A) / (Investment B * Time B). 3/5 = (9630 * 6) / (x * 9). 3/5 = 57780 / 9x. 27x = 288900. x = 10700.

AI explanation

Using the partnership formula, the ratio of profits equals the ratio of the product of investment and time, so 3 divided by 5 equals 9630 times 6 divided by B times 9. Simplifying this gives 1 divided by 5 equals 19260 divided by 3B, which means 3B equals 96300. Solving for B gives an investment of Rs. 10,700.

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