In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juice needs to be higher for better taste. How much orange juice should be poured into the fruit punch that remained, in order to bring up the level of orange juice to 50 percentage?
Explanation:
Fruit Punch contains 60 ml orange juice, 40 ml of water and 100 ml of apple juice i.e., a total of 200 ml.
Madhu drinks 50ml i.e., 1/4th of the this mixture, hence 3/4th of the mixture is left.. Total solutio left = 150 ml Orange left = 60 × 3/4 = 45 ml Water left = 40 × 3/4 = 30 ml Apple left = 100 × 3/4 = 75 ml
Now let x ml of orange is added to bring orange to 50% i.e., 1/2. ∴ 45 + x = 1/2 × (150 + x) ⇒ 90 + 2x = 150 + x ⇒ x = 60 ml
Hence, option (d).
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