A salesperson is paid 3.5% commission. How much does she sell to make $450?

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neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

The sales person is getting a commission of 3.5%. Thereore  she gets a commission of $3.5 for every $100 of sale. So to get a commission of $1  she should make a sale amounting $100/3.5 = $28.5714 .

She got a commission of $450.

Therefore to get a commission of $450 , she should make a sale of  $450*28.5714 = $12857. 14

Therefore to get $450 commission she should  sell  worth $12858 (rounded to next integer).

To get a commission of  $1 she sells

william1941's profile pic

william1941 | College Teacher | (Level 3) Valedictorian

Posted on

Let us assume the salesperson sold products worth $ S. Now the commission that she makes is 3.5%.

And it is also given that the actual commission made was $450.

Therefore we know that 3.5% of S is equal to 450.

=> (3.5/100) * S = 450

=> S = 450*(100 / 3.5)

=> S = 450*100 / 3.5

=> S = 45000/3.5

=> S= 12857.14

Therefore the cost of the products sold to make a commission of $450 is $12857.14

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