A and B enter into partnership with capitals in the ratio 1 : 2. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 6. Find how long B remained in the business? Pick one
A) 9 months
B) 8 months
C) 6 months
D) 7 months
E) None of these
Initially A’s investment = 1x and B’s investment = 2x   Let B remain in the business for ‘n’ months.   ⇒ 1x × 10 : 2x × n = 5 : 6   ∴ 1x × 10 × 6 = 2x × n × 5   ⇒ n = 6   Answer 6 months
<result>C</result>
A and B enter into partnership with capitals in the ratio 1 : 2. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 6. Find how long B remained in the business?