Question

a sum of rs.3000 is distributed among a b and c. a gets 2/3 of what b and c got together and c gets 1/3 of what a and b got together c's share is?

Answer 1

Let the share of b and c be x then :

a = 2/3x

2/3x + x = 3000

2x + 3x = 9000

5x = 9000

x = 1800

a = 2/3 × 1800 = 1200

Let share of be be y then :

C = 1/3 (1200 + y)

c = 400 + 1/3y

3000 - (1200 + y) = 400 + 1/3y

1800 - y = 400 + 1/3y

1400 - y = 1/3y

4200 - 3y = y

4200 = 4y

y = 1050

c = 400 + 1/3 × 1050 = 400 + 350 = 750