Kiran started a business investing Rs.20,000.After 4 months,Sanket joined with a capital of Rs.12000.At the end of the year,they earn a profit of Rs.14,000.Find what will be the share of Sanket in the profit?Rs.2880Rs.3000Rs.4000Rs.3700
Question
Kiran started a business investing Rs.20,000.After 4 months,Sanket joined with a capital of Rs.12000.At the end of the year,they earn a profit of Rs.14,000.Find what will be the share of Sanket in the profit?Rs.2880Rs.3000Rs.4000Rs.3700
Solution 1
To solve this problem, we need to calculate the ratio of their investments.
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Kiran invested Rs. 20,000 for 12 months, so his investment is 20000 * 12 = 240000.
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Sanket joined after 4 months, so he invested for 8 months. His investment is 12000 * 8 = 96000.
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The ratio of their investments is 240000:96000, which simplifies to 5:2.
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The total profit is Rs. 14,000, which needs to be divided in the ratio 5:2.
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To find Sanket's share, we divide the total profit into 7 parts (5 + 2) and then multiply by 2 (Sanket's part of the ratio).
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So, Sanket's share is (14000/7) * 2 = Rs. 4000.
Therefore, Sanket's share of the profit is Rs. 4000.
Solution 2
To solve this problem, we need to calculate the ratio of their investments.
Kiran invested Rs. 20,000 for 12 months, so his investment is 20000 * 12 = 240000.
Sanket joined after 4 months, so he invested for 8 months. His investment is 12000 * 8 = 96000.
The ratio of their investments is 240000:96000, which simplifies to 5:2.
The total profit is Rs. 14,000, so Sanket's share is (2/7) * 14000 = Rs. 4000.
So, the answer is Rs. 4000.
Solution 3
To solve this problem, we need to calculate the ratio of their investments.
Step 1: Calculate the ratio of their investments Kiran invested Rs. 20,000 for 12 months, so his investment is 2000012 = 240000 Sanket joined after 4 months, so he invested for 8 months. His investment is 120008 = 96000 So, the ratio of their investments is 240000:96000, which simplifies to 5:2
Step 2: Calculate Sanket's share of the profit The total profit is Rs. 14,000. To find Sanket's share, we divide this amount according to the ratio of their investments. Sanket's share is (2/7)*14000 = Rs. 4000
So, the answer is Rs. 4000.
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