P, Q, R invested in the ratio of 6 : 5 : 7. After the end of business term they receive the profit in the ratio 3 : 1 : 5. Find the ratio of time in which they invested in the business?Options34 : 14 : 5035 : 14 : 5035 : 50 : 1414 : 35 : 50
Question
P, Q, R invested in the ratio of 6 : 5 : 7. After the end of business term they receive the profit in the ratio 3 : 1 : 5. Find the ratio of time in which they invested in the business?Options34 : 14 : 5035 : 14 : 5035 : 50 : 1414 : 35 : 50
Solution
The ratio of their investments is 6:5:7 and the ratio of their profits is 3:1:5.
The profit of an investment is directly proportional to the product of the money invested and the time for which it is invested. Therefore, the ratio of the time for which they invested can be calculated by dividing the ratio of their profits by the ratio of their investments.
For P, the time ratio is 3/6 = 0.5 For Q, the time ratio is 1/5 = 0.2 For R, the time ratio is 5/7 = 0.714
To make these numbers easier to work with, we can multiply each by a common factor. In this case, 100 is a good choice.
So, the ratio of time in which they invested in the business is 50:20:71.4
However, this ratio is not in the options provided. It seems there might be a mistake in the question or the options provided.
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