Xavier Aptitude Test 2012 Paper

Question : 73 of 85

Marks: +1, -0

Ram prepares solutions of alcohol in water according to customers' needs. This morning Ram has prepared 27 litres of a 12% alcohol solution and kept it ready in a 27 litre delivery container to be shipped to the customer. Just before delivery, he finds out that the customer had asked for 27 litres of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many litres of 12% solution are replaced?

Validate

Solution:

(b) Let Ram replaces

x

litres of

12\ %

sol. with

39\ %

solution.Now, quality of

12\ %

sol. in

27

litre

=\ {27× 12}/{100}

∴

After replacing we have volume of

12\ %

sol.

=\ (\ {27 × 12}/{100}- {12 x}/{100}+\ {39 x}/{100}\ )

=\ {324+27 x}/{100}

This will be equal to

27

litre of

21

\%

sol.

\∴\ {324+27 x}/{100}=\ {21 \× 27}/{100}

\∴\ x=\ {567-324}/{27}= {243}/{27}=9

Hence option (b)

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