Two barrels of 25 liters and 40 liters respectively are filled with the mixture of milk and water in the proportion of 12 : 5 and 14 : 7. If 75% amount of the barrels is transferred to a tank which is filled with 15 liters of milk and 7 liters of water, then the proportion of water to milk in the mixture contained in the tank is?

4824/2251
2251/4824
2251/7075
4824/7075
None of these

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 2251/4824

Available proportion in the tank = 15 litres of milk : 7 litres of water = 15 : 7

Total quantity available in tank = (15 + 7) litres = 22 liters

To find the amount of mixture added from first barrel :

Total amount available in first barrel = 25 liters

Amount added to tank = 75% of total amount

⇒ 75% of 25 = (75/100) × 25 = 18.75 litres

Amount of milk in the added mixture = (12/17) × 18.75 = 13.235 litres = 13.24 litres (approx.)

Amount of water in added mixture = 18.75 - 13.24 = 5.51 liters

To find the amount of mixture added from second barrel :

Total amount available = 40 liters

Amount added to tank = 75% of total amount = 75% of 40 = (75 × 40)/100 = 30 liters

Amount of milk in the added mixture = (14/21) × 30 = 20 liters

Amount of water in added mixture = 30 - 20 = 10 liters

Total amount of milk available in prepared mixture = 15 + 13.24 + 20 = 48.24 liters

Total amount of water available in prepared mixture = 7 + 5.51 + 10 = 22.51 liters

∴ Required ratio = (amount of water)/(amount of milk) = 2251/4824

4 views Answered 2022-09-04 04:29

Related Questions

One fifth of a tank is filled by pipe at the rate of 10 lit/h, three - fifth of a tank is filled by pipe at the rate of 15 lit/h and rest at the rate of 5 lit/h. If average rate of pipe at which tank will completely get filled is 'A' lit/hr then, find the value of 'A'?

1 Answers 4 Views

There are two inlet pipe in the tank which can fill the tank in 15 and 20 hours respectively. There are two leaks in the tank too, having same efficiency one at the bottom of the tank and other at 3/4th height of the tank. Find the time in which the tank will get filled, if the bottom leak can empty the tank in 30 hours.?

1 Answers 4 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

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 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

One fourth of a tank is filled by pipe at the rate of 12 lit/h, two - third of a tank is filled by pipe at the rate of 32 lit/h and rest at the rate of ‘a’ lit/h. If average rate of pipe at which tank will completely get filled is 8 lit/hr then, find the value of a?

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

A milk seller and a fruit seller are two enemies, jealous from each other’s progress. One day the fruit seller found that the milk seller had mixed 20% water in the milk. Out of fear he replaced one litre of mixture with one litre of pure milk which was worth Rs. 80. Milk seller had 20 litre of mixture initially, but still after fruit seller’s work on his mixture, he was in profit. Find his profit percentage.?

1 Answers 5 Views

A tank which could be filled in 8 hours takes two hours more to be filled due to leakage in the tank. If the tank is full, find the time in which leakage empty the tank.?

1 Answers 6 Views

There are two containers X and Y. X contains 100 ml of milk and Y contains 100 ml of water. 20 ml of milk from X is transferred to Y. After mixing well, 20 ml of the mixture in Y is transferred back to X. If m denotes the proportion of milk in X and n denotes the proportion of water in Y, then which one of the following is correct?

1 Answers 4 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)