Question

In a mixture 60 liters, the ratio of milk and water 2 : 1. If the this ratio is to be 1:2,
then the quantity of water to be further added is:
a) 20 Liters
b) 30 Liters
c) 40 Liters
d) 60 Liters​

Answer 1

Answer:

Answer: Option D

Explanation:

Quantity of Milk = 60*(2/3) = 40 liters

Quantity of water = 60-40 = 20 liters

As per question we need to add water to get quantity 2:1

=> 40/(20+x) = 1/2

=> 20 + x = 80

=> x = 60 litres

Answer 2

Answer:

Option d) 60 liters.

Explanation -

Let's find quantity of milk -

$\\ \sf \bigg(60 \times \frac{2}{3} \bigg) = 40 \: l \:$

Quantity of water in mixture -

quantity of mixture - quantity of milk

→ 60 - 40

→ 20 liters.

Let the quantity of water be x litres to be further added.

As per the Question new ratio is 1 : 2

Then,

$\\ \sf \dfrac{40}{20 + x} = \frac{1}{2} \\ \\ \\ \small{ \sf \underline{Now ,\: \: by \: \: cross \: \: multiplication \: : - }} \\ \\ \implies \sf \: 20 + x = 80 \\ \\ \\ \implies \sf \: x = 80 - 20 \\ \\ \\ \implies \sf \: 60 \\ \\ \large{ \underline{ \boxed{ \sf{ \blue{60 \: \: litres}}}}}$