Knowee
Questions
Features
Study Tools

P 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?Options12 months6 months7 months11 months

Question

P 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?Options12 months6 months7 months11 months

🧐 Not the exact question you are looking for?Go ask a question

Solution

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 was made.

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

Given that Q's share of the profit is Rs. 2500 out of a total profit of Rs. 5500, P's share of the profit would be Rs. 5500 - Rs. 2500 = Rs. 3000.

We can set up the following equation based on the information given:

(P's investment * 12 months) / (Q's investment * t months) = P's share of profit / Q's share of profit

Substituting the given values into the equation, we get:

(7000 * 12) / (10000 * t) = 3000 / 2500

Solving this equation for 't' gives us the time period for which Q's investment was made.

After simplifying the equation, we get:

t = (7000 * 12 * 2500) / (10000 * 3000)

Solving this gives us t = 7 months.

So, Q joined the business 7 months into the year.

This problem has been solved

Similar Questions

Select the correct answerP, Q and R start a business with investments of Rs. 90000, Rs. 60000 and Rs. 45000 respectively.PA and Q leave the business after a few months at the same time. At the end of the year, they share the profits in the ratio of 6 : 4 : 9. After how many months did P and Q leaves the business?Options3 months6 months9 months4 months

A started a business with Rs. 18000. After 4 months B joins with Rs. 24000. After 2 more months C joins with Rs. 30000. At the end of 10 months C received Rs. 1850 as his share. Find the total profit?OptionsRs. 1955Rs. 6510Rs. 6845Rs. 9030

P gave Rs.12000 for starting a business.Q gave Rs.16000. What will be share of profit of R after 2 years if R comes after 8 months with his Rs.15000 and profit earned by P, Q and R is Rs.45600?

P, Q and R started a business by investing Rs. 28000, Rs. 35000 and Rs. 14000 respectively. At the end of a year they got a total profit of Rs. 5225. Find P’s share?OptionsRs. 2000Rs. 1900Rs. 2980Rs.1700

Select the correct answerP and Q entered into a partnership investing Rs.16000 and Rs. 12000 respectively. After 3 months P withdraw Rs. 5000, while Q invested Rs. 5000 more. After 3 more months R joins the business with a capital of Rs. 21000. The share of Q exceeds that of R, out of the total profit of Rs. 26400 after one year byOptionsRs. 3600Rs. 1900Rs. 2000Rs. 6800

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.