A dealer sold a car to a man and made

a propit of 15%. The man then sold it

to a woman for 120,175 at a loss of 5%. How much did the dealer buy the car

110.000

Step-by-step explanation:

Selling at a loss of 5% means it was sold for 95% of its purchase value.

If 120.175 equals to 95% then 100% (the purchase value) is 126.500.

120.175/95*100 = 126.500 (plenty of other ways to calculate this, but this is one of the easiest)

So now we change to the dealer's perspective, he sold the car for 126.500 and for him that meant a 15% profit. If the purchase value is 100%, then the sale value is 115% (purchase value+15% profit)

Calculate the purchase value:

126.500/115*100 = 110.000

The dealer bought the car for 110.000, sold it for 126.500, so he made a profit of 16.500 (126.500-110.000) which is a 15% profit (15% of 110.000 is 16.500).