Multiple choice

A, B and C have invested a total sum of Rs. 10000000 in a business. If A has invested Rs. 30 lakh more than C and B has invested Rs. 10 lakh more than C, then the share of B out of a total profit of Rs. 20 lakh is

  1. 1 lakh

  2. 5 lakh

  3. 6 lakh

  4. 10 lakh
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A+B+C = 100. A = C+30. B = C+10. (C+30) + (C+10) + C = 100. 3C = 60. C = 20. B = 30. A = 50. Ratio A:B:C = 5:3:2. B's share = (3/10) * 20 lakh = 6 lakh.

AI explanation

Let C's investment be Rs. x lakh, so A invested x + 30 and B invested x + 10. Since the total investment is 100 lakh, x + (x + 30) + (x + 10) = 100, which gives 3x + 40 = 100 and x = 20. Therefore, the ratio of investments for A, B and C is 50 : 30 : 20, and B's share of the 20 lakh profit is (30 / 100) * 20 = 6 lakh.

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