Kanti started a business investing Rs. 9000. Five months later Sudhaka...
The correct option is C.
Ratio= 9000×12: 8000×7
= 27x : 14x
Sudhakar profit = 6970×14/41 = 2380
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Kanti started a business investing Rs. 9000. Five months later Sudhaka...
Given:
Kanti invested Rs. 9000.
Sudhakar invested Rs. 8000 after 5 months.
Total profit at the end of the year is Rs. 6970.
To find:
Sudhakar's share of the profit.
Solution:
To find Sudhakar's share of the profit, we need to determine the ratio of their investments.
Step 1: Calculate the time for which Kanti and Sudhakar have invested their money.
Kanti invested for the entire year, i.e., 12 months.
Sudhakar invested after 5 months, so he invested for the remaining 7 months.
Step 2: Calculate the ratio of their investments.
The ratio of their investments is given by the product of their investments and the time for which they have invested.
Kanti's investment ratio = Rs. 9000 * 12 = Rs. 108,000
Sudhakar's investment ratio = Rs. 8000 * 7 = Rs. 56,000
Step 3: Calculate Sudhakar's share of the profit.
Sudhakar's share of the profit is given by the ratio of his investment to the total investment multiplied by the total profit.
Sudhakar's share of the profit = (Sudhakar's investment ratio / (Kanti's investment ratio + Sudhakar's investment ratio)) * Total profit
= (56,000 / (108,000 + 56,000)) * 6970
= (56,000 / 164,000) * 6970
= 0.34146 * 6970
= Rs. 2380 (approx.)
Therefore, Sudhakar's share of the profit is Rs. 2380. Answer choice (c) is correct.
Kanti started a business investing Rs. 9000. Five months later Sudhaka...
Ratio= 9000×12: 8000×7
= 27x : 14x
Sudhakar profit = 6970×14/41 = 2380 Ans