Question
Pawan, Yamini, and Zoya initiated
a business with a total capital of Rs. 184,000. Yamini's and Zoya's initial investments were Rs. 16,000 and Rs. 40,000 less, respectively, than Pawan's initial investment. Yamini withdrew Rs. 10,000 at the end of the third month. If Yamini's share of the first year's profit of Rs. 'p' was Rs. 2,260, what was the total profit for the first year?Solution
ATQ, Let Pawan’s initial capital be Rs. ‘x’. Then the initial capitals of Yamini and Zoya would be Rs. ‘x – 16000’ and Rs. ‘x – 40000’ respectively. So, (x) + (x – 16000) + (x – 40000) = 184000 3x – 56000 = 184000 x = Rs. 80000 So, initial capital of Pawan, Yamini and Zoya are Rs. 80000, Rs. 64000 and Rs. 40000, respectively. Profit sharing ratio between Pawan, Yamini and Zoya at the end of the year = [80000 × 12] : [64000 × 3 + 54000 × 9] : [40000 × 12] = 960000 : 678000 : 480000 = 160 : 113 : 80 ATQ, (113/353) × p = 2260 So, p = Rs. 7060
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
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