Question

Divide Rs. 1290 in to A, B and C such that A is `2/5` of B and B : C = 4 : 3.

Answer 1

Given B : C = 4 : 3

`=> B/C = 4/3`

And `A = 2/5 B`

`=> A/B = 2/5`

Now `A/B = 2/5 = (2 xx 4)/(5 xx 4) = 8/20`

And `B/C = (4 xx 5)/(3 xx 5) = 20/15`

`=>` A : B : C = 8 : 20 : 15

`=>` A = 8x, B = 20x and C = 15x

∴ 8x + 20x + 15x = 1290

`=>` 43x = 1290

`=>` x = 30

A's share = 8x

= 8 × 30

= Rs. 240

B's share = 20x

= 20 × 30

= Rs. 600

C's share = 15x

= 15 × 30

= Rs. 450