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