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A total profit of Rs. 3,600 is to be distributed amongst A, B and C such that A : B = 5 : 4 and B : C = 8 : 9. The share of C in the profit is :

a) 1200
b) 1500
c) 1650
d) 1700

Answer: a
Explanation: A Total Profit = Rs. 3600
Profit ratio,
A : B = 5 : 4
B : C = 8 : 9
As B is common in both ratio, we make B equal in both ratio by multiplying One B in another.
A : B = 5 : 4 × 8
B : C = 8 × 4 : 9
So, ratio of
A : B : C = 40 : 32 : 36 = 10 : 8 : 9
C shares in profit = $$\frac{{3600 \times 9}}{{27}}$$   = Rs. 1200

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