A bottle full of juice containing 40% carbohydrate. A part of this juice is replaced by another juice containing 19% carbohydrate and perce… — Answer & Discussion

A bottle full of juice containing 40% carbohydrate. A part of this juice is replaced by another juice containing 19% carbohydrate and percentage of carbohydrate in the new mixture becomes 26%. The part of the juice replaced is?

A1/3^rd
B2/3^rd
C2/5^th
D3/5^th

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Discussion 1

CCommunity01 Jul 2019

Let amount of juice in the bottle is 1 litre

? Juice contains 40% carbohydrate

⇒ Amount of carbohydrate in the bottle = 0.40 litre

Let amount of juice replaced from the bottle is ‘x’ litre

After replacing x litre with another juice containing 19% carbohydrate,

⇒ Amount of carbohydrate in the new mixture = (0.40 – 0.40x + 0.19x) litre

? Percentage of carbohydrate in the new mixture = 26%

⇒ (0.40 – 0.40x + 0.19x) /1 × 100% = 26%

⇒ 0.40 – 0.21x = 0.26

⇒ x = 14/21

⇒ x = 2/3

∴ 2/3rd part of the juice is replaced