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Distribute Rs. 632 amongst A, B and C in such a way that B will get 20 % more than A and C gets 20% less than B |
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Answer» Express the money received by B and C as Ratio i.e. B receives = \(\frac{120}{100}\)A, if A = 100 then B = 120 ∴ \(\frac{A}{B} = \frac{100}{120} =\frac{5}{6}\) C receives \(\frac{B}{C} = \frac{100}{80} = \frac{5}{4}\) B. If B = 100, then C = 80 \(\frac{B}{C} = \frac{100}{80} = \frac{5}{4}\) A : B = 5 : 6; B : C = 5 : 4 A : B : C = 25 : 30 : 24 ∴ 25x + 30x + 24x = 632 79x = 632 ⇒ x = \(\frac{632}{79}\) = 8 ∴ A receives 25 × 8 = Rs. 200 B receives 30 × 8 = Rs. 240 C receives 24 × 8 = Rs. 192 |
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