To solve this problem, we need to understand that the share of profit for each partner in a business is directly proportional to the product of the investment and the time period for which the investment is made.

Let's denote the time period for which Q's investment was made as 't' months.

Since P started the business, his investment was there for the entire year, i.e., 12 months. So, the product of P's investment and time is 7000 * 12.

Q's share of the total profit is Rs. 2500 out of Rs. 5500. So, the ratio of Q's share to the total profit is 2500/5500 = 5/11.

This ratio should be equal to the ratio of the product of Q's investment and time to the product of P's investment and time.

So, we have the equation:

(10000 * t) / (7000 * 12) = 5/11

Solving this equation for 't' gives us:

t = (5/11) * (7000 * 12) / 10000 = 7.2

Since 't' must be an integer (as it represents the number of months), we round 7.2 up to the nearest whole number, which is 7.

So, Q joined the business after 7 months. The correct answer is "7 months".

Question

To solve this problem, we need to understand that the share of profit for each partner in a business is directly proportional to the product of the investment and the time period for which the investment is made.

Let's denote the time period for which Q's investment was made as 't' months.

Since P started the business, his investment was there for the entire year, i.e., 12 months. So, the product of P's investment and time is 7000 * 12.

Q's share of the total profit is Rs. 2500 out of Rs. 5500. So, the ratio of Q's share to the total profit is 2500/5500 = 5/11.

This ratio should be equal to the ratio of the product of Q's investment and time to the product of P's investment and time.

So, we have the equation:

(10000 * t) / (7000 * 12) = 5/11

Solving this equation for 't' gives us:

t = (5/11) * (7000 * 12) / 10000 = 7.2

Since 't' must be an integer (as it represents the number of months), we round 7.2 up to the nearest whole number, which is 7.

So, Q joined the business after 7 months. The correct answer is "7 months".

Knowee AI · Accepted Answer

To solve this problem, we need to understand that the share of profit for each partner in a business is directly proportional to the product of the investment and the time period for which the investment is made.

Let's denote the time period for which Q's investment was made as 't' months.

Since P started the business, his investment was there for the entire year, i.e., 12 months. So, the product of P's investment and time is 7000 * 12.

Q's share of the total profit is Rs. 2500 out of Rs. 5500. So, the ratio of Q's share to the total profit is 2500/5500 = 5/11.

This ratio should be equal to the ratio of the product of Q's investment and time to the product of P's investment and time.

So, we have the equation:

(10000 * t) / (7000 * 12) = 5/11

Solving this equation for 't' gives us:

t = (5/11) * (7000 * 12) / 10000 = 7.2

Since 't' must be an integer (as it represents the number of months), we round 7.2 up to the nearest whole number, which is 7.

So, Q joined the business after 7 months. The correct answer is "7 months".

Select the correct answerP started a business with Rs. 7000. After a few months Q joined with Rs. 10000. At the end of the year, if Q got Rs. 2500 as his share out of the total profit of Rs. 5500, after how many months Q joined?Options11 months6 months7 months12 months

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