A, B and C entered into a partnership by investing Rs 12000, Rs 15000 and Rs 18000, respectively. A is also a working partner and receiving 15% of the annual profit for his work. If B and C received Rs 8500 and Rs 10200 from the annual profit as their shares, what amount did A receive from the annual profit?

Rs 10,500

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Rs 11,500

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Rs 11,300

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Rs 14,000

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None of the above

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Solution

The correct option is C Rs 11,300
Capital ratio of A,B,C is 12000:15000:18000 = 4:5:6
Profit ratio of B and C = 8500 : 10200 = 5:6
$∴$ A's share of the profit = $\frac{4}{5} \times R s .8500 = R s 6800$
$85 % o f x = 6800 + 8500 + 10200 = 25500$
$∴ 15 % o f x = \frac{25500 \times 15}{85} = 4500$
Total profit of A = Rs 800 + Rs 4500 = Rs 11300

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The correct option is C Rs 11,300Capital ratio of A,B,C is 12000:15000:18000 = 4:5:6 Profit ratio of B and C = 8500 : 10200 = 5:6 ∴ A's share of the profit = 45×Rs.8500=Rs6800 85% of x=6800+8500+10200=25500 ∴15% of x=25500×1585=4500 Total profit of A = Rs 800 + Rs 4500 = Rs 11300