Multiple choice

A and B start a small venture by investing Rs. 13,500 and Rs. 18,000, respectively. After 9 months, B withdrew his entire money and X and Y joined the business by investing Rs. 30,000 and Rs. 27,000, respectively. If after a year, a total of Rs. 1,37,500 is obtained as profit, find the total share of B and X together out of total profit.

  1. Rs. 60,000

  2. Rs. 80,000

  3. Rs. 70,000

  4. Rs. 65,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment periods: A (12 months), B (9 months), X (3 months), Y (3 months). Ratio of profit = (13500*12) : (18000*9) : (30000*3) : (27000*3) = 162000 : 162000 : 90000 : 81000 = 18 : 18 : 10 : 9. Total parts = 55. Share of B and X = (18+10)/55 * 137500 = 28/55 * 137500 = 28 * 2500 = 70,000.

AI explanation

Using the profit ratio formula of investment multiplied by time, the ratio for A, B, X and Y is (13500 multiplied by 12) : (18000 multiplied by 9) : (30000 multiplied by 3) : (27000 multiplied by 3), which simplifies to 54 : 54 : 60 : 54. Since the total of 222 parts equals the profit of Rs. 1,37,500, one part equals Rs. 625. The combined share of B and X is 114 parts (54 plus 60), giving 114 multiplied by 625, which results in Rs. 70,000.

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