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Question 124

37.85% and 92% alcoholic solutions are mixed to get 35 litres of an 89% alcoholic solution. How many litres of each solution are there in the new mixture?

Solution

Let $$x$$ and $$(35-x)$$ litres of each solution be mixed.

=> $$37.85\%$$ of $$x+$$ $$92\%$$ of $$(35-x)=89\%$$ of $$35$$

=> $$37.85x+92(35-x)=89\times35$$

=> $$37.85x-92x=(89\times35)-(92\times35)$$

=> $$54.15x=35\times3=105$$

=> $$x=\frac{105}{54.15}\approx1.94$$

$$\therefore$$ 1.94 litres of the first and 33.06 litres of the second

=> Ans - (A)

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