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  1. In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?
    1. 1 : 2
    2. 1 : 3
    3. 2 : 1
    4. 3 : 1
Correct Option: B

Let x litres of first mixture is mixed with y litres of the second mixture.
According to the question,

0.3x + 0.5y
=
9
0.7x + 0.5y11

⇒ 6.3x + 4.5y = 3.3x + 5.5y
⇒ 6.3x – 3.3x = 5.5y – 4.5y
⇒ 3x = y
x
= 1 : 3
y



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