Test Index

Ratio and Proportion

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Question : 15 of 112

Marks: +1, -0

A mixture contains milk and water in the ratio

5 : 1

. On adding 5 litres of water, the ratio of milk and water becomes

5 : 2

. The quantity of milk in the original mixture is

25 litres
20 litres
30 litres
15 litres

Solution:

Concept:

Represent original milk and water as

5x

and

x

litres. Adding water changes the ratio.

Explanation:

Let original milk =

5x

, water =

x

.

After adding 5 litres water, water becomes

x+5

, milk remains

5x

.

New ratio is

\frac{5x}{x+5} = \frac{5}{2}

.

Cross multiplying:

10x = 5(x+5)

→

10x = 5x + 25

→

5x = 25

→

x = 5

.

Thus, milk =

5x = 25

litres.

Answer:

25 litres

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