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A poster of size $10 cm$ by $8 cm$ is pasted on a sheet of cardboard such that there is a margin of width $1.75 cm$ along each of the poster. Find the cost of the cardboard used at the rate of ₹ 0.60 per $cm 2$ .

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₹ 93.15

₹ 24.15

₹ 64.15

₹ 21.15

answer is A.

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Detailed Solution

Given a poster of size

10 cm

8 cm

Area of the poster is,
A = Length

×

Width

⇒ A = 10 c m × 8 cm

⇒ A = 80 c m 2

Length of the cardboard when the margin is included is,

⇒ l = 10 c m + 1.75 c m + 1.75 cm

⇒ l = 13.5 cm

Breadth of the cardboard when the margin is included is,

⇒ b = 8 c m + 1.75 c m + 1.75 cm

⇒ b = 11.5 cm

Area of the cardboard is,
A = Length

×

Breadth

⇒ A = 13.5 c m × 11.5 c m

⇒ A = 155.25 c m 2

Cost of the cardboard is,
C = Area of cardboard

×

Rate of the cardboard ₹ 0.60 per

cm 2

⇒ C = (155.25 × 0.60)

⇒ C

= ₹ 93.15
Therefore, the cost is ₹ 93.15.
Hence, option 1 is correct.

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