Multiple choice

Satish and Mohan started a business together and invested an amount of Rs. 1600 and Rs. 1500, respectively. After 4 months, Mohan withdrew two-thirds of his invested amount. After 3 more months, he reinvested Rs. 400 in the business. At the end of the year, they earned an amount of Rs. 546 as a profit from the business. What will be the share of Mohan in the profit?

  1. Rs. 180

  2. Rs. 210

  3. Rs. 248

  4. Rs. 336

  5. Rs. 340
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Satish's investment is 1600 for 12 months. Mohan's investment is 1500 for 4 months, then (1/3)*1500 = 500 for 3 months, then 500+400 = 900 for 5 months. Calculating the ratio of their total investment-months (19200 : 12000) gives 8:5, so Mohan's share is (5/13) * 546 = 210.

AI explanation

Satish's effective capital for 12 months is 1600 * 12 = 19200. Mohan's effective capital is calculated in three parts: 1500 for 4 months, 500 for 3 months, and 900 for the remaining 5 months, giving (1500 * 4) + (500 * 3) + (900 * 5) = 12000. The profit ratio is 19200 : 12000, which simplifies to 8 : 5. Mohan's share out of the total profit of 546 is (5/13) * 546 = 210. Mohan's profit share is Rs. 210.

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