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A glass of tomato puree has 4 parts of tomato juice and X parts of water. Now, when 2 litres of water is added to 5 liters of mixture, the ratio of tomato juice to water becomes 2 : 1. Calculate value of X. 1. 4 L2. 3 L3. 2 L4. 1 L5. None of the above |
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Answer» Correct Answer - Option 4 : 1 L Given: Initial mixture: Tomato juice : Water = 4 : X Final mixture: Tomato juice: Water = 2 : 1 Final mixture = 5 L mixture + 2 L water Calculation: 2 liters of water is added to 5 liters of mixture ⇒ Final mixture = ((4/ (4 + X)) × 5 ) + ((X/(4 + X) × 5) + 2L Hence, (((4/(4 + X)) × 5)/(((5X/(4 + X)) + 2) = 2/1 ⇒ (20/(4 + X)) = (10X + 8 + 2X)/(4 + X) ⇒ 20 – 8 = 12 X ⇒ 12 = 12X ∴ Value of X = 1L |
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