Multiple choice

Alia, Bipasha and Celina started a dance academy. They invested amounts in the ratio 1 : 3 : 2, respectively, for 8 months. After this they invested amounts in the ratio 2 : 3 : 4, respectively, for 4 months. The average investment of Alia and Bipasha is Rs 28,000, while the average investment of Bipasha and Celina is Rs. 38,000. If Bipasha's amount of investment for both the terms (4 months and 8 months) is swapped, then find the total profit share of Bipasha and Celina given that the annual profit is Rs. 4,62,000.

  1. Rs. 4,56,000

  2. Rs. 3,28,000

  3. Rs. 4,36,000

  4. Rs. 3,78,000

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate the investment shares based on the ratios and time periods. Use the given averages to find the actual investment amounts. Then calculate the profit distribution.

AI explanation

The profit sharing ratio is the sum of each person's investment ratios multiplied by their respective times. Alia's ratio sum is (1 x 8) plus (2 x 4) = 16, Bipasha's sum is (3 x 8) plus (3 x 4) = 36, and Celina's sum is (2 x 8) plus (4 x 4) = 32, making the profit ratio 16:36:32 or 4:9:8. Swapping Bipasha's investment amounts does not change her total product because both periods are multiplied by 3, keeping the ratio unchanged. The combined share for Bipasha and Celina is 17 out of 21 total parts, so multiplying 462000 by 17/21 results in Rs. 3,78,000.

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