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Question
Divide Rs 1,290 into 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 c`"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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