A began business with 12000 and is joined afterwards by B with 48000. When did B join, if the profits at the end of the year are divided equally?  Choose the correct choice from the following answers
A) 8 months  B) 3 months  C) 10 months  D) 7 months  E) None of these
Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.   ∴ Profit ratio is 12 × 12000 : (12 – x) × 48000   or 12 : 4(12 – x)   Since profit is equally divided so   12 = 4(12 – x) or x = 3. Thus B joined after 8 months.   Answer 3 months
<result>B</result>
A began business with 12000 and is joined afterwards by B with 48000. When did B join, if the profits at the end of the year are divided equally?