A and B started a business with initial investments in the ratio of 5:7. If, after one year, their profits were in the ratio of 1:2 and the period for A's investment was for 7 months, B invested the money for :

6 months

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 \frac{1}{2}

months

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 months

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 months

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 10 months
Let, investments of A and B be 5x and 7x. The period of B's investment be for y months
Then, $\frac{(5 x) \times 7}{(7 x) \times y} = \frac{1}{2} \Rightarrow y = 10$

Suggest Corrections

Similar questions

Q. A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

A and B start a business such that their initial investment is Rs. 3000 and Rs.4000 respectively. C joins them after 7 months by investing some amount. After one year the ratio of profit share of B to that of C is 8:5. Find the ratio of the investment of A to that of C.

Q. A, B, C started a business with their investments in the ratio 1 : 3 : 5 After 4 months A invested the same amount as before and B as well as C withdraw half of their investments The ratio of their profits at the end of the year is

Q. Three partners shared the profit in a business in the ratio

5 : 7 : 8

. They had partnered for

14

months,

8

months and

7

months respectively. What was the ratio of their investments?

Join BYJU'S Learning Program

A and B started a business with initial investments in the ratio of 5:7. If, after one year, their profits were in the ratio of 1:2 and the period for A's investment was for 7 months, B invested the money for :

The correct option is C 10 monthsLet, investments of A and B be 5x and 7x. The period of B's investment be for y months Then, (5x)×7(7x)×y=12⇒y=10

The correct option is C 10 months
Let, investments of A and B be 5x and 7x. The period of B's investment be for y months
Then, $\frac{(5 x) \times 7}{(7 x) \times y} = \frac{1}{2} \Rightarrow y = 10$