A, B and C start a business. A invests ₹1,21,500 for 12 months, B invests ₹1,02,060 for 9 months and C invests ₹97,200, but withdrew ₹24,500 after 6 months. If the total profit earned at the end of the year is ₹1,69,797, find the difference between the profit share of A and the profit share of B.
₹26,973
A's capital-months \(= 121500 \times 12 = 1458000\).
B's capital-months \(= 102060 \times 9 = 918540\).
C invests ₹97,200 for the first 6 months and, after withdrawing ₹24,500, continues with ₹72,700 for the remaining 6 months: \(C\text{'s capital-months} = 97200 \times 6 + 72700 \times 6 = 583200 + 436200 = 1019400\).
Total capital-months \(= 1458000 + 918540 + 1019400 = 3395940\).
A's profit share \(= \frac{1458000}{3395940} \times 169797 = 72900\).
B's profit share \(= \frac{918540}{3395940} \times 169797 = 45927\).
Difference \(= 72900 - 45927 = 26973\).
Hence, the difference between the profit share of A and B is ₹26,973.
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Important Questions from Partnership
Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹30,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8,000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.
A, B and C invested their capitals in the ratio 2 ∶ 3 ∶ 5. The ratio of months for which they invested is 4 ∶ 2 ∶ 3, respectively. If the difference between the profit shares of A and B is Rs. 1,86,000, then C's share of profit (in Rs.) is:
A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 ∶ 4 ∶ 5. What is the sum (in Rs.) of the capitals invested by B and C?
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A, B and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
