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
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.
Similar Questions
A chemist has two solutions, one containing 20% of acid and the other containing 40% acid. In what ratio should these solutions be mixed to get a 30% acid solution? Options 2:3 1:2 1:1 2:1
The milk & water in two vessels A & B are in the ratio 4:3 & 2:3 resp. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk & half water? Options : 7:5 7:9 5:9 3:7
Two vessels A & B contain spirit & water mixed in the ratio 5:2 & 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit & water in the ratio 8:5?Options :4:33:45:67:9
DIRECTIONS for question 5: Select the correct alternative from the given choices.Two sellers, A and B, sell the same product but at a profit of 15% and 12% respectively. If the cost price of A is 85% of the cost price of B, find the ratio of the selling prices charged by A and B.25 : 2828 : 25391 : 448447 : 526
In mixture P the ratio between milk & water is 3:2 and in another mixture Q the ratio between milk & water is9:1.In what ratio these two mixtures must be mixed so that the final mixture will contain milk and water in the ratio 4:1 ?Question 20Answera.1:3b.1:1c.2:3d.1:2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.