A, B and C started a business with their investments in the ratio 1 :

1.	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.1). 5 : 12 : 132). 5 : 11 : 143). 5 : 12 : 144). 5 : 12 : 10
Answer» Solution 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 8 months in a year his invest is proportional to 1.5y . where as B invested same amount and C withdrew 1/4th of hisamount 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.

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.1). 5 : 12 : 132). 5 : 11 : 143). 5 : 12 : 144). 5 : 12 : 10

Answer»

Solution

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 8 months in a year his invest is proportional to 1.5y . where as B invested same amount and C withdrew 1/4th of hisamount

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.

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