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A man has whisky worth Rs. 22 a litre and another lot worth Rs 18 a litre. Equal quantities of these are mixed with water to obtain a mixture of 50 litres worth Rs 16 a litre. Find how much water the mixture contains?
  • a)
    5 litres
  • b)
    10 litres
  • c)
    15 litres
  • d)
    20 litres
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Shalini Patel answered
Two lots of whisky having equal quantities are mixed
Let the price of mixture of whisky be Rs. y per litre.
According to question ,
18 – y / y - 22 = 1 
∴ y = Rs. 20 a litre .
Now this mixture is mixed with water and worth Rs. 16 a litre
Hence, the proportion of water to mixture =
20 – 16 / 16 - 0 = 1 : 4 
Quantity of water =
50 / 1 + 4 x 1 = 10 litre 


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