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A chemist needs to strengthen a 15% alcoholic solution to one of 32% alcoholic. How much pure alcohol should be added to 800ml of 15% solution?

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289 ml

309 ml

200 ml

400 ml

answer is C.

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Detailed Solution

Concept: In order to solve the given problem, chemists need to strengthen a 15% alcoholic solution so by using the algebraic expressions we will get the desired solution.
Here,

In 15 % solution quantity of alcohol = \frac{15}{100} \times 800 = 120 ml

And,

if we add 200 ml of alcohol in it

Then,

total quantity = 800 + 200 = 1000 ml

Therefore,

quantity of alcohol = 120 + 200 = 320 ml

= 32 % of 1000 ml

So ,

he must add 200 ml of alcohol

hence, the correct answer is 200ml.

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