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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.
- a)34:14:50
- b)35:14:50
- c)35:50:14
- d)14:35:50
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
P, Q, R invested in the ratio of 6:5:7. After the end of business term...
Answer – 2.35:14:50 Explanation : Take time as t1, t2 and t3 (6*t1/5*t2) = 3/1, u will get t1/t2 = 5:2 Similarly, (5*t2/7*t3) = 1/5, u will get t2/t3 = 7/25
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Community Answer
P, Q, R invested in the ratio of 6:5:7. After the end of business term...
Given:
Investment ratio of P, Q, R = 6:5:7
Profit ratio of P, Q, R = 3:1:5
Let's assume the initial investments of P, Q, and R as 6x, 5x, and 7x respectively.
We know that the profit of P, Q, and R is in the ratio of 3:1:5.
Let's assume the profit earned by P, Q, and R as 3y, y, and 5y respectively.
Total profit = 3y + y + 5y = 9y
We know that the profit earned is directly proportional to the time for which the investment is made.
Therefore, the ratio of time for which P, Q, and R invested in the business will be:
P : Q : R = 3y/6x : y/5x : 5y/7x
Simplifying, we get:
P : Q : R = y/x : y/x : y/x
P : Q : R = 1 : 1 : 1
Now, we know that the investment ratio of P, Q, and R is 6:5:7.
Let's assume the investment time of P, Q, and R as 6t, 5t, and 7t respectively.
Therefore, the ratio of time for which P, Q, and R invested in the business will be:
P : Q : R = 6t/6 : 5t/5 : 7t/7
Simplifying, we get:
P : Q : R = t : t : t
P : Q : R = 1 : 1 : 1
Therefore, the ratio of time in which they invested in the business is 35:14:50 (option B).
Investment ratio of P, Q, R = 6:5:7
Profit ratio of P, Q, R = 3:1:5
Let's assume the initial investments of P, Q, and R as 6x, 5x, and 7x respectively.
We know that the profit of P, Q, and R is in the ratio of 3:1:5.
Let's assume the profit earned by P, Q, and R as 3y, y, and 5y respectively.
Total profit = 3y + y + 5y = 9y
We know that the profit earned is directly proportional to the time for which the investment is made.
Therefore, the ratio of time for which P, Q, and R invested in the business will be:
P : Q : R = 3y/6x : y/5x : 5y/7x
Simplifying, we get:
P : Q : R = y/x : y/x : y/x
P : Q : R = 1 : 1 : 1
Now, we know that the investment ratio of P, Q, and R is 6:5:7.
Let's assume the investment time of P, Q, and R as 6t, 5t, and 7t respectively.
Therefore, the ratio of time for which P, Q, and R invested in the business will be:
P : Q : R = 6t/6 : 5t/5 : 7t/7
Simplifying, we get:
P : Q : R = t : t : t
P : Q : R = 1 : 1 : 1
Therefore, the ratio of time in which they invested in the business is 35:14:50 (option B).
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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.a)34:14:50b)35:14:50c)35:50:14d)14:35:50e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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