In a business, P invests ₹2,00,000 for 8 months, Q invests ₹1,50,000 for 9 months and R invests ₹1,20,000 for some complete months. After a year, out of the profit, R gets a higher profit amount than Q but less than P. If R gets ₹72,000 as profit, then the profit of P is ₹_______.
80,000
Profit is proportional to (investment × time). P: \(2{,}00{,}000\times8=16{,}00{,}000\); Q: \(1{,}50{,}000\times9=13{,}50{,}000\); R: \(1{,}20{,}000\times m\).
Let k be profit per unit investment-month. R's profit: \(1{,}20{,}000\times m\times k = 72{,}000\).
Since R's profit must exceed Q's but stay below P's, testing m=12 (the maximum whole months in a year) gives \(k = \dfrac{72{,}000}{1{,}20{,}000\times12} = 0.05\).
Q's profit: \(13{,}50{,}000\times0.05 = 67{,}500\), which is indeed less than R's ₹72,000, confirming m=12.
P's profit: \(16{,}00{,}000\times0.05 = 80{,}000\).
Hence, the profit of P is ₹80,000.
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Important Questions from Partnership
Kiran, Vimal and Naveen started a business by investing Rs. 1,35,000, Rs. 1,50,000 and Rs. 1,65,000 respectively. Find the share of each (respectively), out of an annual profit of Rs. 60,000.
When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?
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