Knowee
Questions
Features
Study Tools

Select the correct answerP, 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?Options35 : 50 : 1435 : 14 : 5034 : 14 : 5014 : 35 : 50

Question

Select the correct answerP, 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?Options35 : 50 : 1435 : 14 : 5034 : 14 : 5014 : 35 : 50

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

Solution

The profit received by each person is directly proportional to the product of the money invested and the time for which it was invested.

Let's denote the time for which P, Q, and R invested as Tp, Tq, and Tr respectively.

According to the problem,

P's share / Q's share / R's share = (P's investment * Tp) / (Q's investment * Tq) / (R's investment * Tr)

Substituting the given values, we get

3/1/5 = (6Tp) / (5Tq) / (7*Tr)

From this, we can derive the ratios of time for which they invested as follows:

Tp/Tq/Tr = (3/1/5) / (6/5/7) = 35/14/50

So, the correct answer is 35 : 14 : 50.

This problem has been solved

Similar Questions

P, Q and R invested capitals in the ratio 4: 6: 9. At the end of the business term, they received the profits in the ratio 2: 3: 5. Find the ratio of time for which they invested their capitals.Options9:9:108:8:84:7:99:8:76:5:4

Select the correct answerA and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B’s at the end of the year what will be the ratio of their profits?Options6 : 10 : 59 : 10 : 51 : 5 : 513 : 5 : 2

Ratio of profits of P, Q and R are 5 : 8 : 9 respectively.What is their investment ratio if their investment time period ratio is 2 : 5 : 8 respectively?110 : 74 : 647 : 13 : 17100 : 64 : 4510 : 40 : 72

Select the correct answerA, B and C invested their money in the ratio 3: 4: 5 respectively. The total amount invested by them was RS. 4,60, 000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5: 4: 3. Then what was the profit received by B?OptionsRS. 60000RS. 56,000RS. 70000RS. 64,000RS. 68,000

Select the correct answerThe ratio of investment by A to that by B in a business is 14 :15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?Options9756

1/2

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.