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A, B, C subscribe Rs. 5,00,000 for a business. A subscribes Rs. 40,000 more than B and B Rs. 50,000 more than C. Out of a total profit of Rs. 3,50,000 A receives:

a) Rs. 84,000
b) Rs. 1,47,000
c) Rs. 1,36,000
d) Rs. 1,19,000

Answer: b
Explanation:
$$\eqalign{ & {\text{Let}}\,C = x \cr & {\text{Then,}}\,{\text{B}} = x + 50000\,{\text{and}} \cr & {\text{A}} = x + 50000 + 40000 \cr & \,\,\,\,\,\,\,\, = x + 90000 \cr & So,\,x + x + 50000 + x + 90000 = 500000 \cr & \Rightarrow 3x = 360000 \cr & \Rightarrow x = 120000 \cr & {\text{A:B:C}} = 210000:170000:120000 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 21:17:12 \cr & \therefore {\text{A’s}}\,{\text{share}} \cr & = Rs.\,\left( {350000 \times \frac{{21}}{{50}}} \right) \cr & = Rs.\,1,47,000 \cr} $$

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