Question

Divide Rs. 380 between A, B and C such that the shares of A and B are in the ratio of 1 : 2 and that of B and C is are in the ratio 3 : 5.

Answer 1

A : B = 1 : 2

B : C = 3 : 5

Suppose a,b,c is x,y,z respectively

So x + y+ z = 380

x : y = 1 :2

x = y/2

y : z = 3 : 5

z = 5y / 3

So set up the equation

x +y +z = 380

y / 2 + y + 5y / 3

19y / 6 = 380

y = 120

x = y/2

x = 120 / 2

x = 60

z = 5y / 3

z = 5 * 120 / 3

z = 200

So 60 + 120 + 200 = 380