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A, B and C enter into a partnership by investing Rs. 1,600, Rs. 3,600 and Rs. 4,800. A is a working partner and gets a fifth of the profit for his services and remaining profit is divided amongst the three in their ratio. What is the sum of the profit of B and C get if A gets Rs. 5330?
Rs. 13,923
Rs. 10,920
Rs. 14,940
Rs. 10,993
Answer with explanation
Answer: Option BExplanation
Ratio of share of profit between A, B and C = Ratio of investment
= 1600 : 3600 : 4800
= 4 : 9 : 12
Given, Total Profit earned by A = Rs. 5330
–> A’s share of Rs.5330 includes a fifth (ie., 1/5) of the total profit for his services and the share of the balance four fifths (i.e, 4/5) of the profit in the ratio of their investments.
A will get (4/25)th, B will get (9/25)th and C will get (12/25)th of four-fifths of the total profit as they share the remaining four-fifths of the profit in the ratio of their investments.
So, Total Profit earned by A = (1/5)x + (4/25)x * (4/5) = 5330
—> (x/5) + (16x/125) = 5330
—> (25x + 16x)/ 125 = 5330
—> 41x / 125 = 5330
—> x = (5330 * 125) / 41
—> x = 16,250
Then, B’s profit= (4/5) * (9/25) * x
= (4/5) * (9/25) * 16,250
= Rs. 4,680
C’s profit= (4/5) * (12/25) * x
= (4/5) * (12/25) * 16,250
= Rs. 6,240
Sum of the profit of B and C= Rs. 4,680 + Rs. 6,240 = Rs. 10,920
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