What is the cost of flooring a rectangular hall? I. The length and breadth of the hall are in the ratio $3:2$. II. The length of the hall is $48$ m and the cost of flooring is ₹850 per sq m. III. The perimeter of the hall is $160$ m and the cost of flooring is ₹850 per sq m.

Only I and II
Only II and III
Only III
Any two of the three

Correct answer: Any two of the three

Solution

The cost of flooring depends on the area of the rectangular hall and the given rate. Statement II gives the length and rate, and with I the breadth can be found from the ratio; similarly, III gives the perimeter and rate, and with I the dimensions can be determined. Hence any two statements are sufficient.

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