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A person has a chemical of Rs.25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs.20 per litre he may get profit of 25 percent?a.13:16b.16:9c.12:15d.19:22

Question

A person has a chemical of Rs.25 per litre. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs.20 per litre he may get profit of 25 percent?a.13:16b.16:9c.12:15d.19:22

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Solution

The cost price of the chemical is Rs. 25 per litre. The person wants to make a profit of 25% by selling the mixture at Rs. 20 per litre.

First, let's calculate the cost price of the mixture. Since the person wants to make a 25% profit by selling it at Rs. 20, the cost price of the mixture would be 100/125 * 20 = Rs. 16 per litre.

Now, the cost price of the chemical is Rs. 25 per litre and the cost price of water is Rs. 0 per litre (assuming water is free). The cost price of the mixture is Rs. 16 per litre.

Let's assume the quantity of the chemical to be mixed is x litres and the quantity of water to be mixed is y litres.

According to the rule of alligation, the ratio in which the chemical and water should be mixed is given by (Costlier quantity price - Mean price) : (Mean price - Cheaper quantity price).

So, the ratio in which the chemical and water should be mixed is (25 - 16) : (16 - 0) = 9 : 16.

Therefore, the chemical and water should be mixed in the ratio 9 : 16.

So, the correct answer is option b. 16:9.

This problem has been solved

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