Multiple choice

Four persons Emma, Olivia, Emily and Angel started a business in partnership by making some investment. The investment by Olivia is 18.75% more than that by Emma. The investment by Emily is 43.75% more than that Emma. The investment by Angel is x% more than that by Emily. If Olivia received Rs. 22,876 after one year as profit share out of total profit of Rs. 1,07,156, then find the profit share of Angel.

  1. Rs. 91,544

  2. Rs. 39,334

  3. Rs. 37,324

  4. Rs. 32,544

  5. Rs. 33,524
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Emma's investment be E. Olivia = 1.1875E, Emily = 1.4375E. Olivia's profit share is 22876 out of 107156. The ratio of Olivia's investment to total investment is 22876/107156 = 0.21348. Using the ratios, we can find the relative investments and then Angel's share.

AI explanation

Using the given percentages, let Emma's investment be 16 units, making Olivia's investment 19 units and Emily's investment 23 units. Since the total profit is 107156 and Olivia's share is 22876, the ratio of Olivia's investment to the total investment is 19/89, meaning Angel's investment must be such that her ratio plus the others equals the remaining portion. Assuming Angel's percentage increase from Emily leads to an investment of 31 units, the ratio of Angel's profit becomes 31/89 of the total profit, giving (31/89) * 107156 = 37324. Thus, Angel's profit share is Rs. 37,324.

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