A photograph of dimensions 10 cm × 8 cm is pasted on a cardboard of dimensions 15 cm × 15 cm. What percentage of the area of the cardboard should be removed such that the photograph is left with a border of 1 cm on all four sides?

  1. 46.67%
  2. 51.11%
  3. 57.77%
  4. 64.44%

Answer (Detailed Solution Below)

Option 1 : 46.67%
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Detailed Solution

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Calculation:

Area of cardboard = 15 × 15 = 225 cm2

Border of length 1 cm is left,

So, the length of cardboard = 10 + 1 + 1 = 12

And, the width of the cardboard = 8 + 1 + 1 = 10

Area of cardboard required = (10 + 1 + 1) × (8 + 1 + 1) = 12 × 10 = 120 cm2

Area of cardboard removed = 225 - 120 = 105 cm2

∴ Required percentage = (105/225) × 100 = 46.67%

∴ The correct answer is 46.67%

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