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?
Pick one.
A) 12 months	B) 8 months	C) 10 months	D) 14 months	E) None of these
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   =&gt; 18x/(3x × y) = 1/2   =&gt; 6/y = 1/2   =&gt; y = 12   Hence, B's investment is for 12 months.   12 monthsnswer: Option 12 months
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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?