A newly wedded couple is designing their new house by purchasing 10 chairs 3 desks 3 TVs and 4 close...........

Quantitative Aptitude ( CCS) Ratio, Proportion

A newly wedded couple is designing their new house by purchasing 10 chairs, 3 desks, 3 TVs and 4 closets. If the price ratio is 1:3:4:4, what fraction of the cost of the entire purchase was the cost of a desk and a close?

6/31

7/47

5/28

9/43

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Explanation:

Let X be the price of a single chair, normalize all the prices to the price of a chair. The total price of the entire purchase is: 10X + 9X + 12X + 16X = 47X.
The specific purchase costs: 3X + 4X = 7X.
The percent required is 7/47.