A and B invest ₹60,000 and ₹90,000 respectively, in a business. After one year, the profit is distributed, including simple interest at 10% per annum on the capital. Total profit, including interest, is ₹25,000. What is A's share?
₹10,000
Step 1 – Compute simple interest on each partner's capital for 1 year at 10% p.a.:
\(\text{SI for A} = 60000 \times 0.10 = 6000\)
\(\text{SI for B} = 90000 \times 0.10 = 9000\)
Total interest paid out \(= 6000 + 9000 = 15000\).
Step 2 – Find the remaining profit to be split in the ratio of capitals:
Remaining profit \(= 25000 - 15000 = 10000\).
Capital ratio \(A : B = 60000 : 90000 = 2 : 3\).
\(\text{A's share of remaining profit} = \dfrac{2}{5} \times 10000 = 4000\)
Step 3 – Add interest to remaining profit share:
\(\text{A's total share} = 6000 + 4000 = 10000\)
Hence A's share is ₹10,000.
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