A began business with 45,000 and was later joined by B with 54,000. When did B join if the profit at the end of the year were divided in the ratio 2 : 1?  Pick
A) 5 months after	B) 10 months after	C) 7 months after	D) 12 months after	E) None of these
Let B join after ‘x’ month of the start of the business.   ⇒ (45,000 × 12) : 54,000 × (12 – x) = 2 : 1   ∴ (45,000 × 12) × 1 = 54,000 × (12 – x) × 2   ⇒ x = 7   Answer 7 months after
<result>C</result>
A began business with 45,000 and was later joined by B with 54,000. When did B join if the profit at the end of the year were divided in the ratio 2 : 1?