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Question

Geeta planned to floor her living room of size 520 cm x 300 cm with the least number of square tiles of equal areas. If the cost for tiling is ₹ 64/tile, find the total cost (in ₹) incurred on tiling.
  1. 24960

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Solution

The correct option is A 24960
First we need to find the side length of largest square tile which can be used to floor the rectangular living room of size 520 cm x 300 cm.

HCF of 520 and 300 gives the side length of the largest square.

By Euclid's Division Lemma,
520=300×1+220
300=220×1+80
220=80×2+60
80=60×1+20
60=20×3+0
The HCF of 520 and 300 is 20.

The area of the square tile is 20×20=400 cm2.

The number of tiles required to floor the living room 520 cm x 300 cm is given by:
Number of tiles =520 × 300400=390

So, the total cost =390× 64= 24,960.

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