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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?1). 1/3rd2). 2/3rd3). 2/5th4). 3/5th |
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Answer» 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 |
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