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In the solution, the ratio of spirit and water in a mixture is 1:8. The volume of the solution is increased by 25% adding spirit only. What is the resultant ratio of spirit and water?

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13:32

32:13

31:23

23:31

answer is A.

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Detailed Solution

Concept- We have given the solution as the ratio of spirit and water is 1:8 and we need to calculate the ratio of spirit and water after increasing the volume of the solution.
According to the given question the ratio of spirit and water is

Let’s multiply both numerator and denominator by

Volume of spirit in mixture is

volumes.
Volume of water in mixture is

volumes.
Total volume is

So let’s increase the

of volume

So, now total volume of spirit in solution
= 4x +9x/4
=13x/4
Ratio = spirit/water
=

\frac{13 x}{4} \div 8 x

= \frac{13 x}{32 x}

= \frac{13}{32}

The ratio is 13:32.
Hence, the correct option is 1) 13:32

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