Multiple choice

Two business partners, Sam and Dev, started a new business by investing Rs. 55,000 and Rs. 35,000, respectively. After 18 months, Alex, who invested Rs. 90,000, joined them. If the total profit earned by them after 3 years from the starting was Rs. 45,000, then which of the following represents the profit share of Alex?

  1. Rs. 40,000

  2. Rs. 45,000

  3. Rs. 30,000

  4. Rs. 15,000

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

Investment ratios: Sam (55k * 36 months) : Dev (35k * 36 months) : Alex (90k * 18 months). Ratios = 1980 : 1260 : 1620 = 198 : 126 : 162 = 11 : 7 : 9. Total parts = 11+7+9 = 27. Alex's share = (9/27) * 45000 = 15000.

AI explanation

Sam and Dev invested for 36 months while Alex invested for 18 months, giving an effective investment ratio of 55000*36 : 35000*36 : 90000*18, which simplifies to 110:70:90 or 11:7:9. The sum of the ratio parts is 27, so Alex's share of the 45000 profit is (9/27)*45000 = 15000.

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