A began business with 12500 and is joined afterwards by B with 37500. When did B join, if the profits at the end of the year are divided equally? Select:
A) 8 months
B) 9 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 × 12500 : (12 – x) × 37500   or 12 : 3(12 – x)   Since profit is equally divided so   12 = 3(12 – x) or x = 8. Thus B joined after 8 months.   8 monthsnswer 8 months
<result>A</result>
A began business with 12500 and is joined afterwards by B with 37500. When did B join, if the profits at the end of the year are divided equally?