Geeta planned to floor her living room of size 520 cm×300 cm with the least number of square tiles of equal areas. If the cost for tiling is ₹ 64/tile, find the total cost incurred on tiling.
A
₹ 18,000
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B
₹ 24,960
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C
₹ 15,600
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D
₹ 18,200
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Solution
The correct option is B ₹ 24,960 First we need to find the side length of largest square tile which can be used to floor the rectangular living room of size 520×300 cm.
HCF of 520 and 300 gives the side length of the largest square. 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×300) cmis given by: Number of tiles = 520×300400=390
So, the cost of purchasing the square tiles is 390×64=₹24,960.