Question

A and B enter into a partnership with capital in the ratio 5 : 6. After 4 months, A withdraws 1/5 th of his capital, while B increases his capital by 3313 %. What is the share of B (in Rs. lakhs) in the annual profit of Rs. 6.3 lakhs?

• A. 2.34
• B. 2.61
• C. 3.69
• D. 3.96

Answer 1

Answer:

D. 3.96

Solution: Given: The ratio of A and B's capital = 5 ∶ 6 After 4 months, A withdraws 1/5 of his capital, while B increases his capital by 3313 % Total annual profit = Rs. 6.3 lakhs Concept used: Divide the profit according to ratio of investment Calculations: Let money invests by A and B be 5x and 6x respectively Total money invests by A in first 4 months = 5x × 4 = 20x Total money invests by B in first 4 months = 6x × 4 = 24x According to the question, After 4 months money invests by A = 5x × 4/5 = 4x After 4 months money invest by B = 6x × (1 + 100/300) ⇒ 6x × 4/3 = 8x Total money invests by A in last 8 months = 4x × 8 = 32x Total money invests by B in last 8 months = 8x × 8 = 64x Total money invests by A in a year = 20x + 32x = 52x Total money invests by B in a year = 24x + 64x = 88x Ratio of money invests by A and B = 52x ∶ 88x ⇒ 13 ∶ 22 B's profit = (6,30,000/35) × 22 = 3,96,000 ∴ Share of B is 3.96 lakh.