Answer to Question #342971 in Statistics and Probability for Sava

Question

The regular price for a pair of shoes is $245. They are currently on sale for 25% off.  The harmonized sales tax in Ontario is 13%. Your receipt shows that the final cost is $ 215.32. Are you happy with the final cost? Explain why or why not.  Complete without a calculator and show your work.

Answer 1

The regular price for a pair of shoes is $245. They are currently on sale for 25% off.

$$\$245(1-0.25)=\$245\cdot\dfrac{3}{4}$$

The harmonized sales tax in Ontario is 13%

$$\$245\cdot\dfrac{3}{4}\cdot(1+0.13)<\$245\cdot\dfrac{3.4}{4}$$

$$=\$245\cdot0.85=\$208.25$$

We have to pay less than $\$208.25.$ But my receipt shows that the final cost is $ 215.32

Since $\$208.25<\$215.32$ I don't agree with the final cost $ 215.32 . I am not happy with the final cost.