JIPMAT 2022 (QA) - How many liters of water should be added to a 30 liters mixture of milk and water containing milk and water in the ratio 7:3 such that the resultant mixture has 40% water in it? | PYQs + Solutions

JIPMAT 2022

Arithmetic

Mixture & Alligation

Easy

How many liters of water should be added to a $30$ liters mixture of milk and water containing milk and water in the ratio $7:3$ such that the resultant mixture has 40% water in it?

Correct Option: 1

In 30L mixture (ratio 7:3):

Milk =

\frac{7}{10} × 30 = 21

Water =

\frac{3}{10} × 30 = 9

Let

x

L of water be added

\newline

Total water =

(9 + x)

\newline

Total mixture =

(30 + x)

For 40% water:

\frac{9 + x}{30 + x} = \frac{40}{100}

\Rightarrow (9 + x) = 0.4(30 + x)

\newline

\Rightarrow 9 + x = 12 + 0.4x

\newline

\Rightarrow 0.6x = 3

x = 5

Therefore, 5 liters of water should be added.