A can contains 40 litres of milk at Rs 3.5 per litre. How much water must be added to this can so that the cost of milk reduces to Rs 2 per litre?a)20 litresb)30 litresc)24 litresd)38 litrese)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

B) 30 litres Explanation: Milk(40 litres) Water(x litres) 3.5 0
. 2
2 1.5
Ratio = 2 : 1.5 = 4 : 3 so 4/3 = 40/x solve, x = 30

Answer

Given:
- Quantity of milk in the can = 40 litres
- Cost of milk per litre = Rs 3.5
- New cost of milk after adding water = Rs 2

To find:
- Quantity of water that must be added to reduce the cost of milk

Solution:
Let's assume that x litres of water is added to the can.

Now, the total quantity of liquid in the can = 40 + x litres

As per the given condition, the cost of milk after adding water should be Rs 2 per litre.

The total cost of milk in the can before adding water = 40 x 3.5 = Rs 140

Let's assume that the new quantity of milk in the can after adding water is y litres.

So, the new cost of milk in the can = y x 2 = Rs 2y

Now, we can write the following equation based on the above information:

140 = 2y + 3.5(40) - 3.5y

Simplifying the above equation, we get:

140 = 7y - 140

7y = 280

y = 40

Therefore, the new quantity of milk in the can after adding water = 40 litres.

Now, we can find the quantity of water added to the can as follows:

Quantity of water added = total quantity of liquid - quantity of milk

= 40 + x - 40

= x

We know that the new quantity of milk in the can is 40 litres and the initial quantity of milk in the can is also 40 litres. So, the quantity of water added to the can = total quantity of liquid - initial quantity of milk

= 40 + x - 40

= x

Therefore, x = Quantity of water added = 40 - 40 = 30 litres

Hence, the correct option is (b) 30 litres.

Answer

B) 30 litres Explanation: Milk(40 litres) Water(x litres) 3.5 0
. 2
2 1.5
Ratio = 2 : 1.5 = 4 : 3 so 4/3 = 40/x solve, x = 30

Answer

Toatl price -40*3.5=140
if x ltr water added then price is 2
then -140/40+x=2
=40+x=70
then x =30

Similar Quant Doubts

How much quantity of water should be mixed with 10 l of milk costing Rs 50 per litre so that the resultant mixture is to be sold at Rs 44 per kg?

A mixture containing milk and water in the ratio 3:2 and another mixture contains them in the ratio 4:5. How many litres of the later must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of milk and water?

70 litres of a mixture of milk and water contains 20% water. How much water should be added so that the mixture has 28% water?

A mixture contains milk and water in the ratio 2 : 3 and the other contains them in the ratio 3 : 1 respectively. What weight of 2nd mixture must be taken so as to make a third mixture 7 litres in weight with 70% milk?

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company