Question
A and B started a business with capitals of Rs. 55,000 and Rs. 40,000 respectively. After 18 months, A withdrew his investment while B increased his investment to Rs. 60,000 for the remaining 6 months. At the end of 2 years, the difference between their profit shares is Rs. 300. Find the profit share of
B.
Solution
ATQ, Total time = 24 months First phase = 18 months, second phase = 6 months For A: • 18 months: capital = 55,000 • 6 months: capital = 0 For B: • 18 months: capital = 40,000 • 6 months: capital = 60,000 Profit ratio A : B = (55,000 × 18) : (40,000 × 18 + 60,000 × 6) = 9,90,000 : (7,20,000 + 3,60,000) = 9,90,000 : 10,80,000 = 99 : 108 = 11 : 12 Let profit shares of A and B be 11p and 12p. Difference = 12p – 11p = p = 300 ⇒ p = 300 Profit share of B = 12p = 12 × 300 = Rs. 3,600
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