A, B, C started a business with their investments 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 :

A  1 : 2 : 3

B 3 : 4 : 15

C 3 : 5 : 10

D 5 : 6 : 10

Solution

Correct Answer: Option D

Let their initial investments be x, 3x and 5x respectively. Then,

 

A:B:C = (x \(\times\) 4+2x \(\times\) 8) : (3x \(\times\) 4+(3x \(\div\) 2) \(\times\) 8) : (5x \(\times\) 4+(5x \(\div\) 2) \(\times\) 8)

 

20x : 24x : 40x = 5 : 6 : 10    

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