A seller has a chemical that costs Rs.25 per litre. He wants to sell an adulterated mixture at Rs.20 per litre and make a profit of $25 \%$.
What is the ratio in which the seller should add water to the mixture to earn his desired profit?

4:9

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16:9

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8:15

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9:15

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None of these

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Solution

The correct option is B
16:9

Here, the alligation method is applicable on prices, so we should get the average price of the mixture.

$SP of mixture = R s .2 p e r l i t r e, profit = 25 % ∴ average price = 20 \times \frac{100}{125} = R s .16 p e r l i t r e$

Applying the alligation rule:

$∴$ C : W = 16 : 9

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A seller has a chemical that costs Rs.25 per litre. He wants to sell an adulterated mixture at Rs.20 per litre and make a profit of \(25 \%\). What is the ratio in which the seller should add water to the mixture to earn his desired profit?

The correct option is B 16:9 Here, the alligation method is applicable on prices, so we should get the average price of the mixture. SP of mixture=Rs.2 per litre,profit=25%∴average price=20×100125=Rs.16 per litre Applying the alligation rule: ∴ ​C : W = 16 : 9

A seller has a chemical that costs Rs.25 per litre. He wants to sell an adulterated mixture at Rs.20 per litre and make a profit of \(25 \%\).
What is the ratio in which the seller should add water to the mixture to earn his desired profit?