A and B invest in the ratio 3 : 5. After 6 months, C joins

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A and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B’s. At the end of the year what will be the ratio of their profits ?

1. 6 : 10 : 5
2. 3 : 5 : 2
3. 8 : 10 : 5
4. 3 : 5 : 5

Correct Option: A

A’s investment = Rs. 3x
B’s investment = Rs. 5x
C’s investment = Rs. 5x
Ratio of the equivalent capitals of A, B and C for 1 month
= (3x × 12) : (5x × 12) : (5x × 6)
= 36x : 60x : 30x
= 6 : 10 : 5