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CATG Questions – Mixtures and Alligation [VIDEO Solutions]

QUESTION 1
Instead of adding certain amount of water to 80% milk solution to dilute it to 60% milk solution, by mistake same amount of milk is added. To rectify the mistake and to attain the objective of diluting it to 60% of milk solution, 25 litres of water is added. Find the final quantity of milk solution (in litres).
Answer: 85
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QUESTION 2
Cost of 1 litre of milk is Rs. 50, and cost of 1 litre of mineral water is Rs.12. A dishonest milkman mixes 20% of mineral water in milk and sells at 10% above the cost of milk. If he sells 1 litre of milk, what is his overall profit percentage (approx).
  1. 32%
  2. 30%
  3. 28%
  4. 26%
Option: 4
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QUESTION 3
How many pounds of ${H_2}S{O_4}$ must be evaporated from 50 pounds of a 3% solution so that the remaining solution will be 5% salt?
  1. 6
  2. $5\cfrac{1}{3}$
  3. 6
  4. 20
Option: 4
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QUESTION 4
In what ratio two types of tea one costing Rs. 20 per kg and other costing Rs. 30 per kg should be mixed such that the mixture is marked at Rs. 37.5 per kg and selling the mixture after giving a discount of 20% on the marked price fetches 20% profit.
  1. 2:3
  2. 3:2
  3. 1:1
  4. 4:5
Option: 3
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QUESTION 5
A bartender mixes 200 ml of water with 700 ml of whisky. After serving one-third of this mixture, he adds water to replenish the quantity that he has served. What is the current proportion of water to whisky?
  1. 2:7
  2. 4:5
  3. 1:2
  4. 13:14
Option: 4
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