Multiple choice

Sofia and Elena started a business in partnership by making investments of Rs. 6500 and Rs. 6100, respectively. After eight months, Sofia and Elena withdrew respectively Rs. 2000 and Rs. 3000, Albina and Anna joined them with capitals of Rs. 2500 and Rs. 5500, respectively. If after one year and six months, the total profit was Rs. 1,54,080, then the profit share of Elena is how much more than the profit share of Anna?

  1. Rs. 12,850

  2. Rs. 11,840

  3. Rs. 13,880

  4. Rs. 14,880

  5. Rs. 15,850
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate investment-months for each person. Sofia: (6500*8 + 4500*10) = 97000. Elena: (6100*8 + 3100*10) = 79800. Albina: 2500*10 = 25000. Anna: 5500*10 = 55000. Total ratio: 970:798:250:550. Calculate share difference.

AI explanation

The profit ratio is based on the investment multiplied by the time, giving effective shares for Sofia (6500 times 8 plus 4500 times 10), Elena (6100 times 8 plus 3100 times 10), Albina (2500 times 10) and Anna (5500 times 10) as 97000, 79800, 25000 and 55000, or a total ratio of 257600. Elena's ratio share of 79800 out of the total profit of Rs. 1,54,080 equals Rs. 47,880, and Anna's ratio share of 55000 equals Rs. 33,000, making Elena's profit Rs. 14,880 more than Anna's.

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