Multiple choice

Gina invests Rs. 48,000 to start a business. 4 months later Shrayon joins her by investing Rs. 62,000 and another two months later Deepika joins them both by investing Rs. 80,000. At the end of one year the business earns a profit of Rs. 20,661. What is Deepika's share in the profit?

  1. Rs. 7,668

  2. Rs. 6,603

  3. Rs. 7,240

  4. Rs. 6,390
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate the equivalent investment for one year: Gina = 48000 * 12 = 576000; Shrayon = 62000 * 8 = 496000; Deepika = 80000 * 6 = 480000. The ratio of investments is 576:496:480, which simplifies to 36:31:30. Total parts = 97. Deepika's share = (30/97) * 20661 = 6390.

AI explanation

Using the rule that profit equals the product of investment and time, Gina's share is proportional to 48000 times 12, Shrayon's to 62000 times 8, and Deepika's to 80000 times 6. Their effective profit sharing ratio is 576000:496000:480000, which simplifies to 36:31:30. The total of 97 parts corresponds to the profit of Rs. 20661, so Deepika's share of 30 parts is (30/97) times 20661, amounting to Rs. 6390.

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