# QA – Placement Quizzes | Mixtures and Alligation | Question 1

There are two types of sugar. One is priced at Rs 62 per kg and the other is priced at Rs 72 per kg. If the two types are mixed together, the price of new mixture will be Rs 64.50 per kg. Find the ratio of the two types of sugar in this new mixture.**(A)** 2:5

**(B)** 3:1

**(C)** 6:7

**(D)** 3:2

**Answer:** **(B)****Explanation:** Cost Price of 1kg of Type 1 sugar = 6200 p.

Cost Price of 1kg of Type 2 sugar = 7200 p.

Mean Price of 1 kg of mixture = 6450 p.

According to the Rule of Alligation,

(Quantity of Cheaper):(Quantity of Dearer) = (CP of dearer – Mean Price):(Mean Price – CP of cheaper)

Therefore, the required ratio = (7200-6450):(6450-6200) = 750:250 = 3:1.

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