Question

The cost of fencing a circular plot at the rate of Rs. 15 per metre is Rs. 3, 300. What will be the cost of flooring the plot at the rate of Rs. 100 per square metre?

• A. Rs. 3,85,000
• B. Rs. 2,20,000
• C. Rs. 3,50,000
• D. Rs. 4,85,000
• E. None of these

Answer 1

The correct option is A Rs. 3,85,000

Total cost of fencing = Rs. 3300
Rate = Rs. 15/metre
Circumference of circular plot,$=\frac{3300}{15}=220$ metre
$\therefore 2\pi r=220\Rightarrow \frac{2\times 22}{7}\times r=220\Rightarrow r=\frac{220\times 7}{2\times 22}=35metre$
Area of the circular plot $=\pi r^2$
Cost of flooring $=3850\times 100$
$=Rs.385000$