A bar tender replaces some quantity of alcohol having 40% concentration with water and thus the concentration of alcohol changes to 30%. If the alcohol which he replaced is mixed with another sample of 260 ml alcohol having 20% concentration, then a mixture having 27% concentration of alcohol is prepared. Find the initial quantity of alcohol having 40% concentration.?

520 ml
600 ml
560 ml
580 ml

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 560 ml

Suppose the initial quantity of alcohol having 40% concentration is ‘x’ ml and the quantity replaced is y ml;

∴ 0.4(x – y) + 0 × y = 0.3x

⇒ 0.1x = 0.4y

⇒ x = 4y ---- (1)

Now he mixes ‘y’ ml alcohol having 40% concentration with 260 ml alcohol having 20% concentration,

And thus a mixture having 27% concentration of alcohol is prepared;

∴ y × 0.4 + 260 × 0.2 = (y + 260) × 0.27

⇒ 0.4y + 52 = 0.27y + 70.2

⇒ 0.13y = 18.2

⇒ y = 140

From equation (1)

x = 560 ml

∴ Initial quantity of alcohol having 40% concentration = 560 ml

4 views Answered 2022-09-04 04:29

Related Questions

There are two vessels in which alcohol and water are in the ratio of 77 : 23 and 9 : 1 respectively. After mixing the two mixture in certain ratio a new mixture form having alcohol and water in the ratio of 4 : 1. Find in which ratio the two mixture mixed?

1 Answers 5 Views

In an alloy 83% is copper and remaining percentage is zinc and in another alloy 87% is copper and remaining percentage is zinc. The two alloys is mixed so that the new mixture must have 14% zinc . Find the ratio in which two alloy should be mixed to form the new mixture ?

1 Answers 5 Views

A mixture X which has 80% Copper and rest Zinc is mixed with another mixture of Copper and Aluminium (mixture Y) in the ratio 3 : 5. If the resultant mixture has 60% copper only, find the percentage of aluminium in the mixture Y.?

1 Answers 22 Views

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A diluted alcohol solution has 8 litres of alcohol and the rest is water. Find the amount of this solution which should be replaced with pure alcohol. Statement I: A new solution which has 30% alcohol concentration is to be formed. Statement II: The amount of final mixture is 40 litres. Statement III: The amount of water in the initial mixture was 32 litres.?

1 Answers 6 Views

The Northern Railways has installed an automatic train washing plant at Hazrat Nizamuddin station in Delhi. The washing system has a capacity of 250 coaches per day and takes 7-8 minutes to wash a 24-coach rake, thus saving water used for cleaning. Which of the following could be the cause of the statement I: The automatic system will use 6000 liters of which 4000 liters will be recycled water, thus saves water used for cleaning. II: It would be eco-friendly as it uses the minimum quantity of water, soap, and disinfectants. III: As per the calculations, one depot will save 1,24,000 liters of water per day and 453 lakh liters per year after the plant is operational.?

1 Answers 4 Views

Which of the following is correct regarding the Charpy toughness test: P. The sample is held vertically as cantilever beam. Q. The sample is held horizontally as simply supported beam. R. The Notch in the sample faces the striking hammer. S. The Notch in the sample is opposite to the striking hammer.?

1 Answers 4 Views

The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. 6 litres of mixture A and 4 litres of mixture B are mixed to form a new mixture C. Find the amount of water in the new mixture. I) The new mixture had alcohol and water in the ratio 7 ∶ 5. II) Mixture A had alcohol and water in the ratio 5 ∶ 4. III) Mixture B had alcohol and water in the ratio 5 ∶ 3.?

1 Answers 6 Views

Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Manish can row at a speed of 4.5 km/h in still water and rows to a certain upstream point and back to the starting point in a river which flows at 1.5 km/hr. Find his average speed for total journey. Quantity 2: A man can row 6 km/h in still water. It takes him twice as long to row up as to row down the river. Find the rate of stream. Quantity 3: The rate of flow of river water is 4 km/h. A boat goes up 6 km and back to the starting point in 2 hour. Find the speed of the boat in still water.?

1 Answers 5 Views

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.?

1 Answers 5 Views

Study the two cases and answer in terms of relation between the two cases Case 1: Two cans are filled with the mixture of milk and water. The first can contain 72% of water and second can contains 60% of water. A new mixture is prepared by taking 9 part of first can and 6 part of second can. The percentage of milk in the new mixture is Case 2: For testing, 80 ml of milk and water mixture is taken from a container which has 62% water by weight. If in the test tube, additional 20% water of the total water is added, then the % of milk in the test tube is?

1 Answers 6 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)