The dealer sold a car to a man and made a profit of 15%.the man then sold it to a woman for one hundred twenty thousand,one hundred and seventy five at a loss of 5%.how much did he buy the car?

(1.15x)(95) = 120175

4199

R4890

To find out how much the dealer bought the car for, we can use the information given about the profit percentage and the subsequent sale.

Let's assume the dealer bought the car for "X" amount.

The dealer made a profit of 15% on this price when selling it to the man. This means that the selling price to the man was 115% of the original cost.

115% of X = Price sold to the man

To find the price sold to the man, we can convert 115% to decimal form by dividing it by 100:

115% / 100 = 1.15

So, the price sold to the man would be:

1.15 * X

The man then sold the car to the woman for $120,175 at a 5% loss. This means that the selling price to the woman was 95% of the price he bought it for.

95% of the price the man bought the car = $120,175

To find the price the man bought the car for, we can convert 95% to decimal form:

95% / 100 = 0.95

So, the price the man bought the car for would be:

0.95 * (1.15 * X)

Now, we can solve for X:

0.95 * (1.15 * X) = $120,175

First, calculate the value in the parentheses:

1.15 * X = Y (say)

Now the equation becomes:

0.95 * Y = $120,175

Divide both sides by 0.95 to find Y:

Y = $120,175 / 0.95

Solve for Y:

Y ≈ $126,500

Therefore, the price the dealer bought the car for (X) would be approximately $126,500.