How much water should be added to 60 liters of milk at 1 1/2 liters a rupee so as to have a mixture worth 1 7/8 liters a rupee?

How much water should be added to 60 liters of milk at 1…

How much water should be added to 60 liters of milk at $1 \frac{1}{2}$ liters a rupee so as to have a mixture worth $1 \frac{7}{8}$ liters a rupee?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 15 liters.

The cost of $1 \frac{1}{2}$ liter milk = Rs 1

So, the cost of 60 L milk = 60/(3/2) = Rs 40

After adding x liters of water, the total quantity of the mixture becomes 60 + x liters.

The new rate of the mixture = 15/8 Rs/liter

Since water is free,

According to the question,

(60 + x)/(15/8) = 40

⇒ 60 + x = 75

x = 75 - 60 = 15 liter

So, 15 liters of water should be added.