Question

Ben has a monthly commission plan where he receives 2% commission on all his sales for the month. If his sales exceeds $40,000.00, a bonus of 1% of everything over 40,000.00 is given to him. For sales more than $80,000.00, an additional 1% of everything over 280,000.00 is received. How much is his total commission during a month when he had total sales of 296,500.00?​

Answer 1

Answer:

Step-by-step explanation:

Let total sales is Rs x

Given 5% commission on sale up to Rs 10000

Then 5% of sale 10000 =  

100

5

​

×10000=500 Rs

Then other sale more than 10000=x−10000

So commission on sale more than 10000=  

100

4

​

×(x−10000)

So total commission on sales =  

100

4

​

×(x−10000)+500

So remit =x−[  

100

4

​

×(x−10000)+500]

But given total remit is Rs 31100

∴x−[  

100

4

​

×(x−10000)+500]=31100

⇒25x−x+10000−12500=31100×25

⇒24x=777500−10000+12500

⇒24x=780000

⇒x=32500 Rs

Then total sales is Rs. 32500