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DIRECTIONS for questions 1 to 3: Select the correct alternative from the given choices.There are two variants of detergents – A and B. Detergent A contains 75% soap and 25% bleach, while detergent B contains 85% soap and 15% bleach. In what ratio should the detergents A and B be mixed, so that the resultant mixture contains 79% soap in it?2 : 33 : 45 : 43 : 2

Question

DIRECTIONS for questions 1 to 3: Select the correct alternative from the given choices.There are two variants of detergents – A and B. Detergent A contains 75% soap and 25% bleach, while detergent B contains 85% soap and 15% bleach. In what ratio should the detergents A and B be mixed, so that the resultant mixture contains 79% soap in it?2 : 33 : 45 : 43 : 2

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Solution

To solve this problem, we can use the method of allegation, which is a rule of mixture to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.

Here, the percentage of soap in detergent A is 75% and in detergent B is 85%. We want a mixture that is 79% soap.

The difference between the percentage of soap in detergent B and the desired percentage in the mixture is 85 - 79 = 6.

Similarly, the difference between the percentage of soap in detergent A and the desired percentage in the mixture is 79 - 75 = 4.

Therefore, the ratio in which detergents A and B should be mixed is 6 : 4, which simplifies to 3 : 2.

So, the correct answer is 3 : 2.

This problem has been solved

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