Question
A mixture contains (3x + 60) litres of alcohol and (4x – 40) litres of spirit. 20% of the mixture is taken out, and some quantity of alcohol and spirit which is equal to 30% of the quantity of alcohol and spirit respectively in the initial mixture is added to the taken out mixture such that the ratio of alcohol to spirit in the taken out mixture becomes 5:6. The total initial quantity of the mixture can be:
I. 7x + 20 litres
II. (5x + 580) litres
III. (4x + 860) litres
Solution
According to the question, {0.20(3x + 60) + 0.30(3x + 60)}/{0.20(4x - 40) + 0.30(4x - 40)} = 5/6 (3x + 60)/(4x – 40) = 5/6 Or, 18x + 360 = 20x – 200 Or, x = 560/2 = 280 litres Therefore, total quantity of the mixture = (3x + 60 + 4x – 40) = 1980 litres For I: Total quantity of the mixture = 7x + 20 = 7 × 280 + 20 = 1980 litres Therefore, I can be the answer. For II: Total quantity of the mixture = (5x + 580) = (5 × 280 + 580) = 1980 litres Therefore, II can be the answer. For III: Total quantity of the mixture = (4x + 860) = (4 × 280 + 860) = 1980 litres Therefore, III can be the answer.
More Mixture Questions
- A 40-litre solution contains 35% acid. How many litres of a 55% acid solution must be added so that the resulting mixture contains 45% acid?
- Vessel contains 40 liters wine. If x liters of wine is taken out and replaced with water, this process is repeated two more times and then quantity of wine...
- Quantity of water in a 420 litres mixture (Milk + Water) is 20 litres less than the quantity of milk in it. Find the quantity of water to be mixed so that ...
- In a mixture of milk and water, the ratio of milk to water is 5 : 3. How much water must be added to 32 litres of this mixture to make the ratio 5 : 4?
- Two alloys A and B are made of copper and zinc only. In alloy A, copper and zinc are in the ratio 3 : 5. In alloy B, they are in the ratio 7 : 5. How many ...
- 500 litres of mixture ‘A’ contains milk and water in it. If mixture ‘A’ is mixed with 700 litres of mixture ‘B’ which contains water and salt, then the rat...
- A solution contains 10% water. How much water should be added to 30 liters of the sugar and water solution to increase the water content to 25%?
- 60 grams of an alloy 'A' containing only gold, silver and copper in ratio 3:2:5 respectively is mixed with 20 grams of alloy 'B' which contains only silver...
- 26.75 litres of a mixture P (milk and water) is combined with another mixture Q. The resulting mixture has milk to water in the ratio 4:7. If mixture Q has...
- Sum of first 33 odd natural numbers is (19m + 63), whereas sum of first 28 even natural numbers is (17n + 98). 'p' is the number of factors of (mn - 1288)....
Relevant for Exams:
