Multiple choice

Passage

Direction : Read the following questions carefully and choose the right answer.

Dholak and Tabla entered in a partnership business in which Tabla invested Rs. 50,000. At the end of 4 months Tabla withdrew Rs. 7500 and at the end of another 5 months he again withdrew Rs. 9000. Dholak had left his investment intact, then what was his investment if at the end of one - year he received 40% of the total profit?

  1. Rs. 27500

  2. Rs. 32000

  3. Rs. 28500

  4. Rs. 31500

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

Tabla's investment: (50000 * 4) + (42500 * 5) + (33500 * 3) = 200000 + 212500 + 100500 = 513000. If Dholak's investment is D, his total is D * 12. Profit ratio is 40:60 (2:3). So (D * 12) / 513000 = 2/3. D = (513000 * 2) / (3 * 12) = 28500.

AI explanation

Tabla's total effective capital for the year is calculated by summing the products of his investments and their durations: (50000 * 4) + (42500 * 5) + (33500 * 3) = 502500. Since Dholak received 40% of the profit, Tabla received the remaining 60%, meaning their effective capital ratio is 40 : 60, or 2 : 3. Dholak kept his investment intact for 12 months, so his effective capital is 12 times his principal, which equals 2/3 * 502500 = 335000. Dholak's actual investment is therefore 335000 / 12 = Rs. 28500.

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