Question

A and B started a business by investing rs 2400 and rs 3600 respectively.at the end of 4th month from the start of the business,c joined with rs x .After 8 months from the start of the business,B withdraw rs 600.If c,s share is rs 8000 in the annual profit of rs 22500,what was the amount of c invested in the business​

Answer 1

Step-by-step explanation:

A invests Rs. 2400 for 12 months

B invests Rs. 3600 for 8 months

And Rs. 3000 for 4 months

C invests Rs. X for 8 months

Ratio of profit of A, B and C

⇒Profit of A

⇒Profit of A

: Profit of B

Profit of B

: Profit of C

Profit of C

⇒2400×12

⇒2400×12

: (3600×8)

(3600×8)

+ (3000×4)

(3000×4)

: X×8

X×8

⇒28800:40800:8X⇒3600:5100:X

⇒28800:40800:8X⇒3600:5100:X

Given profit of C = Rs. 8000

And total profit of A, B and C = Rs. 22500

∴X×225003600+5100+X=8000⇒X×225008700+X=8000

∴X×225003600+5100+X=8000⇒X×225008700+X=8000

⇒22500X

⇒22500X

= 69600000

69600000

+ 8000X

8000X

⇒14500X=69600000⇒X=Rs.480