Three friends A, B, and C started a business with capitals ₹ x, 2x and y respectively, at the end of the term profit is ₹ z, then the share of the profit of A is
(a) ₹ \frac{\text{xz}}{\text{3x+y}}
(b) ₹ \frac{\text{2xz}}{\text{3x+y}}
(c) ₹ \frac{\text{z}}{\text{2x+y}}
(d) ₹ \frac{\text{xyz}}{\text{3x+y}}
WBBSE
Class X
Mathematics
Partnership
01 Mark
2023
(a) ₹ \frac{\text{xz}}{\text{3x+y}}
Explanation
Ratio of the share = x : 2x : y
Total amount = x + 2x + y = 3x + y
Profit = z
A’s profit shares = \text{\text{x}}\over \text{\text{3x + y}} × z
= \frac{\text{xz}}{\text{3x+y}}
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