Question

There is total 60 litre of milk which has only 84% milk and rest is water how much water must be added to it so that milk becomes 64%.

Answer 1

Answer:

The correct answer is 18.75 litres.

Step-by-step explanation:

Initial percentage of milk in the mixture= 84℅

So, the percentage of water= 16℅

Now, finding the initial ratio between milk and water:

Milk: Water= 84: 16, which is 21:4 ( after simplification)

In the similar way,

After addition of water, new ratio= 16:9

Now adjusting the two ratios:

Ratio 1 = 21:4

Ratio 2 = 16:9

As water is only added, the milk quantity remains same and so in both the ratios the quantity of milk should be the same

To make milk same in both the ratios, ratio 1 is multiplied by 16 and ratio 2 is multiplied by 21

The resulting ratios are:

Ratio 1= 336 : 64

Ratio 2 = 336 : 189

As initial mixture was 60 litres so it can be equated with 400( 336+64)

Therefore, it can be said that 125 (189-64) is equivalent to = 18.75 litres.