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The quantity of water in litres that must be added to 12 litres of beer priced at Rs 10 a litre to reduce the price to Rs 8 a litre is
- a)3
- b)1
- c)2
- d)3.5
Correct answer is option 'A'. Can you explain this answer?
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The quantity of water in litres that must be added to 12 litres of bee...
Solution:
Let the quantity of water added to 12 litres of beer be x litres.
Total quantity of mixture = 12 + x litres
Price of beer = Rs 10 per litre
Price of mixture = Rs 8 per litre
As per the question, we have to reduce the price of beer from Rs 10 per litre to Rs 8 per litre by adding water.
Let's apply the formula of the weighted average.
Weighted average = (Quantity of A * Price of A + Quantity of B * Price of B) / (Quantity of A + Quantity of B)
Here, A represents beer and B represents water.
Weighted average = (12 * 10 + x * 0) / (12 + x)
Price of mixture = Rs 8 per litre
According to the question, we can write:
Weighted average = Price of mixture
(12 * 10 + x * 0) / (12 + x) = 8
120 + 0 = 8 (12 + x)
96 = 12 + x
x = 96 - 12
x = 84 litres
Therefore, 84 litres of water must be added to 12 litres of beer priced at Rs 10 a litre to reduce the price to Rs 8 a litre.
Hence, the correct option is (a) 3.
Let the quantity of water added to 12 litres of beer be x litres.
Total quantity of mixture = 12 + x litres
Price of beer = Rs 10 per litre
Price of mixture = Rs 8 per litre
As per the question, we have to reduce the price of beer from Rs 10 per litre to Rs 8 per litre by adding water.
Let's apply the formula of the weighted average.
Weighted average = (Quantity of A * Price of A + Quantity of B * Price of B) / (Quantity of A + Quantity of B)
Here, A represents beer and B represents water.
Weighted average = (12 * 10 + x * 0) / (12 + x)
Price of mixture = Rs 8 per litre
According to the question, we can write:
Weighted average = Price of mixture
(12 * 10 + x * 0) / (12 + x) = 8
120 + 0 = 8 (12 + x)
96 = 12 + x
x = 96 - 12
x = 84 litres
Therefore, 84 litres of water must be added to 12 litres of beer priced at Rs 10 a litre to reduce the price to Rs 8 a litre.
Hence, the correct option is (a) 3.
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The quantity of water in litres that must be added to 12 litres of bee...
Answer is 2.4
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The quantity of water in litres that must be added to 12 litres of beer priced at Rs 10 a litre to reduce the price to Rs 8 a litre isa)3b)1c)2d)3.5Correct answer is option 'A'. Can you explain this answer?
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