Devi and Faye wanted to buy gifts for their parents. Devi bought a watch at $1424 after a 11% discount. Faye bought the same watch at $1360. What was the percentage discount given to Faye?
Question
Devi and Faye wanted to buy gifts for their parents. Devi bought a watch at 1360. What was the percentage discount given to Faye?
Solution
Step 1: Find the original price of the watch
Devi bought the watch at 1424 is 89% (100% - 11%) of the original price.
So, we can set up the equation:
1424 = 0.89 * Original Price
Solving for Original Price gives us:
Original Price = 1424 / 0.89 = $1600
Step 2: Find the discount given to Faye
Faye bought the same watch for $1360. To find the discount, we subtract the price Faye paid from the original price:
Discount = Original Price - Faye's Price = 1360 = $240
Step 3: Find the percentage discount given to Faye
The percentage discount is the discount divided by the original price, times 100%:
Percentage Discount = (Discount / Original Price) * 100% = (1600) * 100% = 15%
So, Faye was given a 15% discount.
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