# 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?

A. 1 : 2

B. 1 : 3

C. 2 : 1

D. 3 : 1

**Answer: Option B **

__Solution(By Examveda Team)__

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Related Questions on Alligation

A. $$\frac{{1}}{{2}}$$ kg

B. $$\frac{{1}}{{8}}$$ kg

C. $$\frac{{3}}{{14}}$$ kg

D. $$\frac{{7}}{{9}}$$ kg

A. 81 litres

B. 71 litres

C. 56 litres

D. 50 litres

Applying rule of Alligation :

30 ···································· 50

···················· 45 ····················

5 : 15 or 1 : 3 (Ans.)

or

30x + 50y = 45(x+y)

⇒ 30x + 50y = 45x + 45y

⇒ 15x = 5y

⇒x/y = 1/3

So, x : y = 1 : 3

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5% or 15% kese aya