What is the price difference between the two companies?

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Fireside Shop offers chimney caps for 120 dollars less trade discounts of 25/10. The same chimney cap is being offered at Builder's Supply for $111 less than the trade discounts of 25/5. What is the price difference between the two companies?

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120 dollars less trade discounts of 25/10.

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It seems that you have two consecutive discounts, where the discount rates are $25\%=0.25$ and $10\%=0.1$. After the two discounts the price $P$ reduces to $P\cdot (1-0.25)\cdot (1-0.1)=P\cdot 0.75\cdot 0.9=\frac{27}{40}\cdot P$.

Hint: Rounded to the nearest cent the price difference between the two companies is 1.91 dollars.