5. After deducting commission at 71/2% on the
first 10,000 and 5% on the balance of sales
made by him, an agent remits 3,395 to his
principal. Find the value of goods sold by him.
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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
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