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Question 43
A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :
Solution
Let the investment of A, B , and C be y , 3y , 5y
after 4 months A invested same amount and hence for next 8 months in a year his invest is proportional to 2y . where as B and C withdrew half of their amount
So their effective amount after 4 months are 1.5y and 2.5y respectvely
So after a year their profits will be shared in ratio = A:B:C = (4y+16y) : (12y + 12y) : (20y + 20y)
A:B:C = 20:24:40 = 5:6:10
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