A person has a chemical costing Rs 25 per litre. In what ratio should water be mixed with the chemical, so that after selling the mixture at Rs 20/litre he may get a profit of 25%?

13 : 16

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16 : 9

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12 : 15

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19 : 22

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None of the above

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Solution

The correct option is B 16 : 9
In this question, the alligation method is applicable to prices, so we should get the average price of the mixture.
S.P. of mixture =Rs 20/litre, profit =25%.
$∴$ Average price $= 20 \times \frac{100}{125} = R s 16 / l i t r e$

$∴$ Chemical:Water =16:9.

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A person has a chemical costing Rs 25 per litre. In what ratio should water be mixed with the chemical, so that after selling the mixture at Rs 20/litre he may get a profit of 25%?

The correct option is B 16 : 9In this question, the alligation method is applicable to prices, so we should get the average price of the mixture. S.P. of mixture =Rs 20/litre, profit =25%. ∴ Average price =20×100125=Rs16/litre ∴ Chemical:Water =16:9.

The correct option is B 16 : 9
In this question, the alligation method is applicable to prices, so we should get the average price of the mixture.
S.P. of mixture =Rs 20/litre, profit =25%.
$∴$ Average price $= 20 \times \frac{100}{125} = R s 16 / l i t r e$

$∴$ Chemical:Water =16:9.