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Question

A cuboid shaped bank locker whose length, breadth and height are 50 cm, 50 cm and 2 m respectively has to be secured by a touch sensor system at the rate of ₹ 5 per 100 sq. cm. The total cost of the security arrangement is ___.


A

₹ 2,25,000

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B

₹ 22,500

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C

₹ 2250

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D

₹ 2,35,000

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Solution

The correct option is C

₹ 2250


Given: Length of the locker, l=50 cm

Breadth, b=50 cm

Height, h=2 m=200 cm

Total surface area of the cuboidal locker =2(lb+bh+lh)=2(50×50+50×200+50×200)=2×22500=45000 cm2

Cost of installing a touch sensor system = ₹ 5 per 100 sq. cm

So, total cost to be incurred =5100 × 45000=2250


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