Multiple choice

Rene, Bob and Bill enter into a partnership. Rene invests 3 times as much as Bob invests, and Bob invests two-third of what Bill invests. At the end of the year, the profit earned is Rs. 3300. Calculate the share of Rene.

  1. Rs. 1300

  2. Rs. 1800

  3. Rs. 1900

  4. Rs. 1600

  5. Rs. 1200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Bob = 2/3 * Bill. Rene = 3 * Bob = 3 * (2/3 * Bill) = 2 * Bill. Ratio Rene:Bob:Bill = 2 : 2/3 : 1 = 6 : 2 : 3. Total parts = 11. Rene's share = (6/11) * 3300 = 1800.

AI explanation

Let Bill's investment be 6 units, so Bob invests two-thirds of that, which is 4 units. Rene invests three times Bob's amount, giving Rene 12 units. The profit sharing ratio for Rene, Bob and Bill is 12 : 4 : 6, which simplifies to 6 : 2 : 3, making the total parts 11. Rene's share of the total profit of 3300 is (6/11) * 3300 = 1800. Rene's share of the profit is Rs. 1,800.

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