In a partnership business, the ratio of the capital of three friends is 6: 4 : 3. After 4 months 1st friend withdraws his half of the capital and after 8 more months total profit is ₹ 61,050. Find the share of the profit of three friends.
WBBSE
Class X
Mathematics
Partnership
05 Mark
2023
Let the capital of A = 6x
Let the capital of B = 4x
Let the capital of C = 3x
Half of 6x = 3x
Ratio of capital with respect to 1 month:
= [(6x × 4) + (3x × 8)]: (4x × 12): (3x × 12)
= (24x + 24x): 48x: 36x
= 48x: 48x: 36x
= 4:4:3
Total profit = ₹ 61,050
Profit of A = Share of A × total profit
= 4\over 11 × 61050 = ₹ 22200
Profit of A = ₹ 22200
Similarly, Profit of B = ₹ 22200 (since the ratio of B is same as A)
Profit of C = 3 × 5550 = ₹ 16650
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