A, B and C enter into a partnership by investing in the ratio of 4:3:5. After six months, B invests another Rs.2,64,000 and C invests Rs.5,40,000 at the end of two years also invests. At the end of the three years, profits are shared in the ratio 3:5:6. What is the initial investment of A?
Question
A, B and C enter into a partnership by investing in the ratio of 4:3:5. After six months, B invests another Rs.2,64,000 and C invests Rs.5,40,000 at the end of two years also invests. At the end of the three years, profits are shared in the ratio 3:5:6. What is the initial investment of A?
Solution
The problem involves a partnership where investments are made in a certain ratio and profits are shared in a different ratio. However, the question asks for the initial investment of A.
Here are the steps to solve the problem:
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We know that the initial investments of A, B, and C are in the ratio of 4:3:5. Let's assume the initial investment of A as 4x, B as 3x, and C as 5x.
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The problem states that after six months, B invests another Rs.2,64,000. This means that the initial investment of B (3x) is half of Rs.2,64,000 because six months is half a year. So, 3x = Rs.2,64,000 / 2 = Rs.1,32,000.
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Now that we know the value of 3x, we can find the value of x = Rs.1,32,000 / 3 = Rs.44,000.
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Now, we can find the initial investment of A by multiplying the value of x with 4 (since the initial investment of A is 4x). So, the initial investment of A = 4 * Rs.44,000 = Rs.1,76,000.
So, the initial investment of A is Rs.1,76,000.
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