Question

A, B and C start a small business. B invests Rs. 300 more than A, and C invests thrice of B. If the annual profit earned was Rs. 2250 and B’s share from the annual profit was Rs. 500, how much did A invest in the business ?

Answer 1

If

A invests = x

 

B invests = x + 300

 

C invests = 3(x + 300) = 3x + 900

 

Total investment = x + (x + 300) + (3x + 900) = 5x + 1200

 

B’s share = (x + 300) / (5x + 1200) x 2250 = 500

 

x + 300 = 500/2250 (5x + 1200)

 

x + 300 = 10/9x + 800/3

 

x - 10/9x =  800/3 – 300

 

-x/9 = -100/3

 

x = 300

 

A invested Rs. 300

 

 

Answer 2

If

A invests =

x

 

B invests =

x + 300

 

C invests =

3(x + 300) = 3x + 900

 

Total

investment = x + (x + 300) + (3x + 900) = 5x + 1200

 

B’s share =

(x + 300) / (5x + 1200) x 2250 = 500

 

x + 300 =

500/2250 (5x + 1200)

 

x + 300 = 10/9x

+ 800/3

 

x - 10/9x =  800/3 – 300

 

-x/9 =

-100/3

 

x = 300