A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 months, A invested the half amount more as before and B invested same the amount as before while C withdrew 1/4th of his investment. Find the ratio of their profits at the end of the year.

Let the investment of A, B , and C be y , 2y , 4y

after 6 months A invested half of amount more and hence for next 6 months in a year his invest is proportional to 1.5y . where as B invested same amount and C withdrew 1/4th of his amount

So their effective amount after 6 months are 4y and 3y respectvely

So after a year their profits will be shared in ratio = A:B:C = (6y + 9y) : (12y + 24y) : (24y + 18y)

A:B:C = 15:36:42 = 5:12:14

Hence answer is C option.