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 the end of a year was 14960- What is the share of C-None of theseRs- 3740Rs- 4120Rs- 3500

Question

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 the end of a year was  14960- What is the share of C-None of theseRs- 3740Rs- 4120Rs- 3500

Toppr Admin · Accepted Answer

Share of A - Share of B - Share of C6-xD7-12-3-xD7-12-6-xD7-6-72-36-36-2-1-1Total profit -14960-x21D2-2x-x-x-14960-x21D2-4x-14960-x21D2-x-149604-3740So- C share - Rs- 3740

$A$ 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 $C$ ?
None of these
Rs. $3740$
Rs. $4120$
Rs. $3500$

Share of $A$ : Share of $B$ : Share of $C$
$6 \times 12 : 3 \times 12 : 6 \times 6$
$= 72 : 36 : 36$
$= 2 : 1 : 1$
Total profit $= 14960$
$\Rightarrow 2 x + x + x = 14960$
$\Rightarrow 4 x = 14960$
$\Rightarrow x = \frac{14960}{4} = 3740$
So, $C$ share $=$ Rs. $3740$

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?None of theseRs. 3740Rs. 4120Rs.3500

Share of A : Share of B : Share of C6×12:3×12:6×6=72:36:36=2:1:1Total profit =14960⇒2x+x+x=14960⇒4x=14960⇒x=149604=3740So, C share = Rs. 3740

$A$ 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 $C$ ?
None of these
Rs. $3740$
Rs. $4120$
Rs. $3500$

Share of $A$ : Share of $B$ : Share of $C$
$6 \times 12 : 3 \times 12 : 6 \times 6$
$= 72 : 36 : 36$
$= 2 : 1 : 1$
Total profit $= 14960$
$\Rightarrow 2 x + x + x = 14960$
$\Rightarrow 4 x = 14960$
$\Rightarrow x = \frac{14960}{4} = 3740$
So, $C$ share $=$ Rs. $3740$