Question

A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:

• A. 6 2/3
• B. 5 1/3
• C. 6 1/3
• D. 5 2/3

Answer 1

Answer:

A. 6 2/3

Solution:

Given:

A drink of chocolate and milk contains 8% pure chocolate.

10 litres of pure milk are added to 50 litres of this drink

Concept used:

Alligation method

Calculation:

Using the above data in the alligation method, we have

⇒ $\frac{(x-0)}{(8-x)}=\frac{50}{10}$

⇒ x = 40 - 5x

⇒ $x = \frac{40}{6}$

⇒ $X=6\frac{2}{3}$

∴ The percentage of chocolate in the new drink is $6\frac{2}{3}$%