$A$ and $B$ started a business with the amount in the ratio of $6:3.$ After $6$ months $C$ joins them with the same amount as $A$. If the total profit at the end of a year was $14960$. What is the share of $C$?

A

Rs.$3500$

B

Rs. $3740$

C

Rs. $4120$

D

None of these

Medium

Open in App

Solution

Verified by Toppr

Correct option is B)

Share of $A$ : Share of $B$ : Share of $C$ $6×12:3×12:6×6$ $=72:36:36$ $=2:1:1$ Total profit $=14960$ $⇒2x+x+x=14960$

$⇒4x=14960$ $⇒x=414960 =3740$ So, $C$ share $=$ Rs. $3740$