A, B and C invested capitals in the ratio of 4 : 6 : 9. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. Find the ratio of their time for which they contributed their capitals.

Q: A, B and C invested capitals in the ratio of 4 : 6 : 9. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. Find the ratio of their time for which they contributed their capitals.

Here, P1 : P2 : P3 = 2 : 3 : 5 [profit's ratio] and x1 : x2 : x3 = 4 : 6 : 9 [investment's ratio] According to the rule, Required ratio = P1/x1 : P2/x2 : P3/x3 = 2/4 : 3/6 : 5/9 = 1/2 : 1/2 : 5/9 = 9 : 9 : 10

1 : 1 : 9
2 : 2 : 9
10 : 10 : 9
9 : 9 : 10

Correct Answer: 9 : 9 : 10

Explanation:

Here, P₁ : P₂ : P₃ = 2 : 3 : 5 [profit's ratio]
and x₁ : x₂ : x₃ = 4 : 6 : 9 [investment's ratio]
According to the rule,
Required ratio = P₁/x₁ : P₂/x₂ : P₃/x₃
= 2/4 : 3/6 : 5/9
= 1/2 : 1/2 : 5/9 = 9 : 9 : 10

← Previous Question Next Question→

More Questions from Partnership

Aarti, Vinita and Kamla became partners in a business by investing money in the ratio of 5 : 7 : 6. Next year, they increased their investments by 26%, 20% and 15%, respectively. In what ratio should profit earned during 2nd year be distributed?
Anil is an active and Vimal is a sleeping partner in a business. Anil invests ₹ 12000 and Vimal invests ₹ 20000. Anil receives 10% profit for managing, the rest being divided in proportion to their capitals. Out of the total profit of ₹ 9000, the money received by Anil is
Aayush and Babloo are partners in a business. Aayush contributes 1/4 of the capital for 15 months and Babloo received 2/3 of the profit. How long Babloo's money was used?
A and B started a business with ₹ 20000 and ₹ 35000 respectively. They agreed to share the profit in the ratio of their capital. C joins the partnership with the condition that A, B and C will share profit equally and pays ₹ 220000 as premium for this, to be shared between A and B. This is to be divided between A and B in the ratio of?
P and Q entered a partnership for 3 yr. At the start of the business, they invested ₹ 13000 and ₹ 25000, respectively. At the end of 3 yr their total profit was ₹ 76000. What will be share of Q out of this profit?
Rajan and Sajan started a business initially with ₹ 14200 and ₹ 15600, respectively. If total profits at the end of year is ₹ 74500, what is the Rajan's share in the profit?
In a partnership A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for the whole time. Out of a profit of Rs. 4,600 B's share is?
A, B and C entered into partnership by making investments in the ratio 3 : 5 : 7 After a year, C invests another Rs. 3,37,600 while A withdrew Rs. 45,600. The ratio of investment then changes to 24 : 59 : 167. How much did A invest initially?
A and B entered into partnership A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit. B contributed?
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months. C joins of Rs. 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year, by?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion