Multiple choice

2 friends Manoj and Ravi started a business by investing Rs. 1,50,000 and Rs. 2,00, 000, respectively. After 6 months, Ravi withdrew some amount of his investment. At the same time, a 3rd friend Gurpreet joined the business by investing the same amount which Ravi had withdrawn. At the end of the year, Ravi and Gurpreet distributed their profits in the ratio 5 : 3. If the total profit for the year was Rs. 1,54,000, what was the share of Manoj in the profit?

  1. Rs. 66,000

  2. Rs. 84,000

  3. Rs. 96,000

  4. Rs. 72,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Manoj's capital-time is 150000 × 12 = 1800000. From Ravi's and Gurpreet's 5:3 profit ratio, Ravi withdraws 150000, giving capital-time values 1500000 and 900000; Manoj's share is 1800000/4200000 × 154000 = Rs. 66000.

AI explanation

Ravi invested 200000 for 6 months and the remaining amount for the other 6 months. Gurpreet invested the withdrawn amount for 6 months, and since their profit ratio is 5 : 3, Ravi's effective capital for the second half is 5/3 of Gurpreet's 6-month investment. This means Ravi kept 5/8 of his initial capital, so he withdrew 3/8 of it, which is 3/8 of 200000 = 75000. Gurpreet invested this 75000 for 6 months, so the profit ratio is Manoj (150000 for 12 months) : Ravi ((200000 for 6) + (125000 for 6)) : Gurpreet (75000 for 6), resulting in ratios of 1800 : 1950 : 450 or 12 : 13 : 3. Manoj's share of the total profit is 12/28 of 154000, which equals 66000.

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