Question

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

• A. ₹. 2,25,000
• B. ₹ 22,500
• C. ₹ 2250
• D. ₹ 2,35,000

Answer 1

The correct option is C

₹ 2250

Given,
Length of the locker, $l=50\text{cm}$.

Breadth, $b=50\text{cm}$.

Height, $h=2m=200\text{cm}$.

Total surface area of the cuboidal locker
$=2(lb+bh+lh)$
$=2(50\times 50+50\times 200+50\times 200)$
$=2\times 22500$
$=45000{\text{cm}}^2$

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

$\therefore$ Total cost to be incurred
$=$ $\frac{5}{100}\times 45000=$ $₹2250$