To find the ratio of time in which they invested in the business, we need to use the formula for profit sharing in a business partnership, which is:

Profit = Capital * Time

Given that the profit ratio is 3:1:5 and the capital ratio is 6:5:7, we can set up the following equations to find the time ratio:

For P: 6T1 = 3 (where T1 is the time P invested)
For Q: 5T2 = 1 (where T2 is the time Q invested)
For R: 7T3 = 5 (where T3 is the time R invested)

Solving these equations for T1, T2, and T3 gives us:

T1 = 3/6 = 0.5
T2 = 1/5 = 0.2
T3 = 5/7 = 0.714

So, the ratio of time in which they invested in the business is 0.5:0.2:0.714, which simplifies to 5:2:7.14. However, ratios are typically expressed in whole numbers. To convert this to whole numbers, we can multiply each term by 10, giving us a final time ratio of 5:2:7.14.

Question

To find the ratio of time in which they invested in the business, we need to use the formula for profit sharing in a business partnership, which is:

Profit = Capital * Time

Given that the profit ratio is 3:1:5 and the capital ratio is 6:5:7, we can set up the following equations to find the time ratio:

For P: 6T1 = 3 (where T1 is the time P invested)
For Q: 5T2 = 1 (where T2 is the time Q invested)
For R: 7T3 = 5 (where T3 is the time R invested)

Solving these equations for T1, T2, and T3 gives us:

T1 = 3/6 = 0.5
T2 = 1/5 = 0.2
T3 = 5/7 = 0.714

So, the ratio of time in which they invested in the business is 0.5:0.2:0.714, which simplifies to 5:2:7.14. However, ratios are typically expressed in whole numbers. To convert this to whole numbers, we can multiply each term by 10, giving us a final time ratio of 5:2:7.14.

Knowee AI · Accepted Answer

To find the ratio of time in which they invested in the business, we need to use the formula for profit sharing in a business partnership, which is:

Profit = Capital * Time

Given that the profit ratio is 3:1:5 and the capital ratio is 6:5:7, we can set up the following equations to find the time ratio:

For P: 6T1 = 3 (where T1 is the time P invested)
For Q: 5T2 = 1 (where T2 is the time Q invested)
For R: 7T3 = 5 (where T3 is the time R invested)

Solving these equations for T1, T2, and T3 gives us:

T1 = 3/6 = 0.5
T2 = 1/5 = 0.2
T3 = 5/7 = 0.714

So, the ratio of time in which they invested in the business is 0.5:0.2:0.714, which simplifies to 5:2:7.14. However, ratios are typically expressed in whole numbers. To convert this to whole numbers, we can multiply each term by 10, giving us a final time ratio of 5:2:7.14.

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?

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