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). 1/3rd
2). 2/3rd
3). 2/5th
4). 3/5th
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