Milk and water are mixed in the ratio of 7: 3 in 40 liters of milk. What is the percentage of pure milk when 10 liters of pure milk is added to the mixture? Remove.
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Answer :-
The percentage of pure milk when 10 litres [pure milk] is added to the mixture is 76%.
Step-by-step explanation :
To Find :-
The percentage of pure milk when 10 litres of pure milk is added to the mixture.
★ Solution:
Given that,
- The ratio of milk and water in 40 litres of milk = 7:3
Finding the capacity of milk and water :-
Assumption :
→ Milk = 7x
→ Water = 3x
∴ 7x + 3x = 40 . . . . [Given]
⇒ 7x + 3x = 40
⇒ 10x = 40
⇒ x = 40/10
⇒ x = 4
Now, The capacity :-
- 7x = 7*4 = 28 litres
- 3x = 3*4 = 12 litres.
Also given,
When 10 litres of milk is added to the mixture, The total capacity of milk and mixture will be :-
- Total litres of Milk :-
⇒ 28 litres + 10 litres
⇒ 38 litres
- Total capacity of mixture :-
⇒ 40 + 10
⇒ 50 litres.
Now, ⠀⠀⠀⠀⠀ A . T . Q,
The percentage of milk :-
⇒ 38/50 × 100
⇒ 38/5 × 10
⇒ 38 × 2
⇒ 76%
Hence, Percentage of milk is 76%.
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