Multiple choice

Rahul, Daman and Simran were business partners. In their business, Rahul invested Rs. 13,000 for 6 months, Daman invested Rs.16,800 for 5 months and Simran invested Rs. 20,000 for 3 months. But, to manage their business, they decided to make Rahul the working member in this business, for which he received 5% of the profit. If the total profit earned by them was Rs. 14,800, then which of the following represents Daman's share in the profit?

  1. Rs. 6,540

  2. Rs. 6,280

  3. Rs. 5,600

  4. Rs. 5,320

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

Ratio of investments: Rahul = 13000*6 = 78000, Daman = 16800*5 = 84000, Simran = 20000*3 = 60000. Ratio = 78:84:60 = 13:14:10. Rahul gets 5% of 14800 = 740. Remaining profit = 14060. Daman's share = (14/37) * 14060 = 14 * 380 = 5320.

AI explanation

Rahul gets 5% of 14800, which is 740, leaving a remaining profit of 14060 to be divided in their investment ratio. The ratio of effective investments is 13000*6 : 16800*5 : 20000*3, which simplifies to 13:14:10. The sum of the ratio parts is 37, so Daman's share of the remaining profit is (14/37)*14060 = 5320.

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