Bissoy.com
Doctors Medicines MCQs Q&A

A juice barrel contains fruit syrup and water in the ratio of 3 ∶ 5. When 4 liters of water is being added to juice, the new ratio of syrup to water becomes 1 ∶ 2, find the initial quantity of fruit syrup in the juice in liters.

A juice barrel contains fruit syrup and water in the ratio of 3 ∶ 5. When 4 liters of water is being added to juice, the new ratio of syrup to water becomes 1 ∶ 2, find the initial quantity of fruit syrup in the juice in liters. Correct Answer 12

As per given data-

Initial fruit syrup to water ratio is 3 ∶ 5.

Let X is multiplication constant in ratio.

∴ Barrel contains 3X quantity of fruit syrup & 5X quantity of water.

When 4 liters of water is added in barrel new ratio of syrup to water becomes 1 ∶ 2

3X/(5X + 4) = 1/2

∴ 3X × 2 = 5X + 4

∴ 6X = 5X + 4

∴ X = 4 liters

∴ Quantity of fruit syrup = 3X = 3 × 4 = 12 liters

∴ Answer is 12 liters.

Related Questions

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
When 12 litres of water were added with some quantity of pure watermelon juice then the ratio of juice to water become 5 : 4 Quantity I: In the mixture, when 2 litres of pure watermelon juice are added then what will be the concentration of juice in the new mixture?  Quantity II: Instead of 12 litres of water, if 5 litres of water were added and the quantity of pure watermelon juice remained the same then what would be the concentration of pure watermelon juice  in the mixture?
Kulbhushan started a juice (syrup + water) counter. Initially, he had 140 litres of juice which had 40% water in it. He sold 30 litres of the juice. Then he added equal amounts of syrup and water. Now the ratio of water to syrup became 3 ∶ 4. What quantity of water was added?
Beyonce is trying to make a cocktail by mixing Pepsi and Mango juice in a vessel. The quantity of mixture is 32 liters. The ratio of Pepsi to Juice is 7 ∶ 1. If 3 liters juice is more added to the mixture, the ratio of Pepsi to juice changes to new ratio. If she want to change back the new ratio to original one. Then find how much Pepsi is to be added?   
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture.
A 24 liters of cough syrup and water mixture contains cough syrup and water in the ratio 3 : 5. What liters of the mixture should be taken out and replaced with pure cough syrup so that the final mixture contains syrup and water in equal proportions?
A mixed fruit juice is made by mixing apple juice, orange juice and pineapple juice in the ratio 3 ∶ 5 ∶ 4 respectively. How much apple juice and orange juice is required to prepare the mixed fruit juice containing 16 litre of pineapple juice?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Quantity A∶  A 30 litre mixture of wine and water has wine and water in the ratio 5∶ 7. How much water must be drawn off so that the ratio of wine and water becomes 25∶ 19? Quantity B∶ A 35 litre mixture of wine and water has wine and water in the ratio 1∶ 3. How much water must be drawn off so that the ratio of wine and water becomes 1.75∶ 3.35? Quantity C∶ A 27 litre mixture of wine and water has wine and water in the ratio 3∶ 2. How much water must be drawn off so that the ratio of wine and water becomes 81∶ 11?
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ? ( in litres)
A jar contains some quantities of Apple, Guava, and Orange juice in the ratio of 24 : 18 : 19 respectively. If 30 liters of Apple juice and 30 liters of Guava juice are added to the jar, then the ratio of these juices will become 39 : 33 : 19. What is the initial quantity of Orange?