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.
