In what ratio should two varieties of sugar at Rs.36 per kg and Rs.48 Kg be mixed together to get a mixture whose cost is Rs.40 per kg ?Options :2:11:23:22:3
Question
In what ratio should two varieties of sugar at Rs.36 per kg and Rs.48 Kg be mixed together to get a mixture whose cost is Rs.40 per kg ?Options :2:11:23:22:3
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 are the steps:
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Write down the cost of the cheaper variety and the costlier variety. In this case, Rs.36 per kg and Rs.48 per kg respectively.
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Write down the mean price, which is the cost of the mixture. In this case, Rs.40 per kg.
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Subtract the cost of the cheaper variety from the mean price, and the mean price from the cost of the costlier variety.
Rs.40 - Rs.36 = Rs.4 Rs.48 - Rs.40 = Rs.8
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The ratio in which the two varieties should be mixed is the same as the ratio of these differences. So, the two varieties of sugar should be mixed in the ratio 4:8 or simplified to 1:2.
So, the answer is 1:2.
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