Question

Divide rs. 4300 between a, b and c such that a:b = 5:4 and b:c = 3:4 ?

Answer 1

as a/b=5/4
multiplying and dividing the R.H.S by 3 we get
a/b=15/12

similarly b/c=12/16

so a:b:c=15:12:16

let a=15x,b=12x and c=16x

according to question 15x+12x+16x=4300
43x=4300
x=100
so a gets 1500,b gets 1200 and c gets 1600

Answer 2

we need to divide rs4300 to a, b and c
let us take the ratio in terms of x
so
5x+4x+3x+4x=4300
16x=4300