A and B enter into a partnership with capitals in the ratio 2 : 3.
A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2, how long did B invest his capital?
Answer/Solution
12 months
Steps/Work
Explanation:
Let the initial investment of A and B be Rs. 2x and Rs. 3x respectively.
Let B invested for a period of y months.
Then, ratio of capitals of A and B
= (2x × 9) : (3x × y) = 1 : 2
=> 18x/(3x × y) = 1/2
=> 6/y = 1/2
=> y = 12
Hence, B's investment is for 12 months.
Answer: Option A
Let the initial investment of A and B be Rs. 2x and Rs. 3x respectively.
Let B invested for a period of y months.
Then, ratio of capitals of A and B
= (2x × 9) : (3x × y) = 1 : 2
=> 18x/(3x × y) = 1/2
=> 6/y = 1/2
=> y = 12
Hence, B's investment is for 12 months.
Answer: Option A