Question

Find the difference between the highest sale and the lowest sale.

• A. 8000
• B. 10000
• C. 6000
• D. 5000

Answer 1

The correct option is B 10000

Given:- Sale due to salesman A = 18000

Here, Sale due to A = $\frac{\text{area of circle}}{4}=18000$

Let the radius be r.

$\Rightarrow \frac{\pi r^2}{4}=18000$

$\Rightarrow r^2=\frac{18000.4}{\pi }$

Sales due to A is area formed by A

Area of arc = $\frac{\theta \times r^2}{2}$

Also, we know that arc with maximum or greatest angle with serve the greatest area.

$\Rightarrow$ greatest area = highest sale

Also, arc with smallest angle will serve the smallest area

$\Rightarrow$ Smallest area = Lowest sale

$\therefore$ Highest sale will be due to Salesman B

and Lowest sale will be due to Salesman D

Sale due to B = Area covered by B

$=\frac{\frac{2\pi }{3}\times r^2}{2}$

$=\frac{2\pi }{3\times 2}\times \frac{18000\times 4}{\pi }$

=$24000$ Rs

Sale due to D = Area covered by D

$=\frac{\frac{7\pi }{9}\times r^2}{2}$

$=\frac{7\pi }{9\times 2}\times \frac{18000\times 4}{\pi }$

= $14000$ Rs

Difference = Highest Sale - Lowest Sale

= Sale due to B - Sale due to D = $24000-14000=10000$