From a homogeneous mixture of salt and sugar containing 4 parts of salt and 5 parts of sugar, 1/4th part of the mixture is drawn off and re… — Answer & Discussion

From a homogeneous mixture of salt and sugar containing 4 parts of salt and 5 parts of sugar, 1/4^th part of the mixture is drawn off and replaced with salt. The ratio of salt and sugar in the new mixture is?

A7 ∶ 12
B5 ∶ 12
C5 ∶ 7
D5 ∶ 9

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Discussion 1

CCommunity14 Jul 2019

Let amount of the mixture of salt and sugar is 1 kg

Mixture contains 4 parts of salt and 5 parts of sugar

⇒ Amount of salt in the mixture = 4/9 kg

⇒ Amount of sugar in the mixture = 5/9 kg

After replacing 1/4th part with salt,

⇒ Amount of salt in the new mixture = (4/9 – 4/9 × ¼ + 1/4) kg = (16 – 4 + 9) /36 kg = 7/12 kg

⇒ Amount of sugar in the new mixture = (5/9 – 5/9 × 1/4) kg = 5/12 kg

∴ Required ratio = 7/12 ? 5/12 = 7 ? 5