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A mixture contains milk and water in the ratio 7:3. On adding 20 liters of water, the ratio of milk to water becomes 7:5. Total quantity of milk & water before adding water to it?
- A10
- B100
- C70
- D30
Correct answer: B
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CCommunity
100
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NA
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CCommunity
Solution:
Given: Ratio of milk and water in the mixture = 7:3
Amount of milk = 7x litres
Amount of water = 3x litres.
20 litres of water is added to the mixture.
So, Amount of water becomes (3x +20).
The new ratio is,
7x : (3x + 20) = 7 : 5
x : (3x + 20) = 1 : 5
5x = 3x + 20
5x - 3x = 20
2x = 20
x = 10 litres
Hence, original amount of milk = 7x = 7 × 10 = 70 litres
Original amount of water = 3x = 3 × 10 = 30 litres
Total quantity of mixture = 70 + 30 = 100 litres
So, the correct option is B). 100
Given: Ratio of milk and water in the mixture = 7:3
Amount of milk = 7x litres
Amount of water = 3x litres.
20 litres of water is added to the mixture.
So, Amount of water becomes (3x +20).
The new ratio is,
7x : (3x + 20) = 7 : 5
x : (3x + 20) = 1 : 5
5x = 3x + 20
5x - 3x = 20
2x = 20
x = 10 litres
Hence, original amount of milk = 7x = 7 × 10 = 70 litres
Original amount of water = 3x = 3 × 10 = 30 litres
Total quantity of mixture = 70 + 30 = 100 litres
So, the correct option is B). 100