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The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?

Correct answer: C. 18 m

  • A. 27 m
  • B. 24 m
  • C. 18 m
  • D. 21 m

Explanation

An increase of 200% means the length is 300% of the breadth, so length = 3 x breadth. The painted area is Rs. 324 ÷ Rs. 3 per m2 = 108 m2; hence 3b2 = 108, b = 6 m and length = 3 x 6 m = 18 m. The likely mistake is option b, which treats a 200% increase as length being twice the breadth.

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