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Simran started a software business by investing Rs. 50000. After six months, Nanda joined her with a capital of Rs. 80000. After 3 years, they earned a profit of Rs. 24500. What was Simran’s share in the profit ?

a) Rs. 9423
b) Rs. 10250
c) Rs. 12500
d) None of these

Answer: d
Explanation:
$$\eqalign{ & {\text{Simran}}:{\text{Nanda}} = \left( {50000 \times 36} \right):\left( {80000 \times 30} \right) \cr & = 1800000:2400000 \cr & = 3:4 \cr & {\text{Simran’s share}} = {\text{Rs}}{\text{.}}\left( {24500 \times \frac{3}{7}} \right) \cr & = {\text{Rs. }}{\text{10500 }} \cr} $$

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