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P and Q started a business by investing their capitals in to ratio of 4:9. After 3 months P increased his capital to 1 ½ times. After 5 more months Q with draw 1/3 of capital. If they got RS. 5400 as the annual profit. Find the share of P in the profit.OptionsRS. 2700RS. 2200RS. 2400RS. 2600RS. 2800

Question

P and Q started a business by investing their capitals in to ratio of 4:9. After 3 months P increased his capital to 1 ½ times. After 5 more months Q with draw 1/3 of capital. If they got RS. 5400 as the annual profit. Find the share of P in the profit.OptionsRS. 2700RS. 2200RS. 2400RS. 2600RS. 2800

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Solution

To solve this problem, we need to follow these steps:

Step 1: Determine the initial capital of P and Q based on their ratio of 4:9. Let's assume P's initial capital is 4x and Q's initial capital is 9x.

Step 2: After 3 months, P increased his capital to 1 ½ times. This means P's new capital is (4x * 1.5) = 6x.

Step 3: After 5 more months, Q withdrew 1/3 of his capital. This means Q's new capital is (9x - (1/3) * 9x) = (9x - 3x) = 6x.

Step 4: Calculate the total capital after these changes. The total capital is (6x + 6x) = 12x.

Step 5: Calculate the ratio of P's capital to the total capital. P's capital is 6x, so the ratio is (6x / 12x) = 1/2.

Step 6: Calculate P's share of the profit. P's share is (1/2) * 5400 = 2700.

Therefore, the share of P in the profit is RS. 2700.

This problem has been solved

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