Question
X and Y invested Rs. 2,500 and Rs. 4,500 respectively in a
startup. After 9 months, X exited, Y lowered his investment by Rs. 500, and Z entered the business with Rs. 3,000. At year-end, Y’s share of the profit is Rs. 1,980. What is the profit share of Z?Solution
ATQ,
Ratio of profit share of X, Y, and Z, respectively:
= (2,500 × 9) : (4,500 × 9 + 3,000 × 3) : (3,000 × 3)
= 22.5 : (40.5 + 9) : 9
= 22.5 : 49.5 : 9
= 5 : 11 : 2
Required profit share = (1,980 / 11) × 2 = Rs. 360
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