A and B enter into partnership with capitals in the ratio 3 : 4. 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?  Choose the correct choice from the following answers.
A) 9 months  B) 8 months  C) 6 months  D) 7 months  E) None of these
Initially A’s investment = 3x and B’s investment = 4x   Let B remain in the business for ‘n’ months.   ⇒ 3x × 10 : 4x × n = 5 : 6   ∴ 3x × 10 × 6 = 4x × n × 5   ⇒ n = 9   9 monthsnswer 9 months
<result>A</result>
A and B enter into partnership with capitals in the ratio 3 : 4. 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?