Question

A merchant gives 5% up to 10000 sales on an object and give 4% commission exceeding 10000 sales. He gives in company 31100 after deducting his commission. find the total sales.​

Answer 1

Answer:

32500

Explanation:

Let total sales is Rs x

Given 5% commission on sale up to Rs 10000

Then 5% of sale 10000 =1005×10000=500 Rs

Then other sale more than 10000=x−10000

So commission on sale more than 10000=1004×(x−10000)

So total commission on sales =1004×(x−10000)+500

So remit =x−[1004×(x−10000)+500]

But given total remit is Rs 31100

∴x−[1004×(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