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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 1424aftera111424 after a 11% discount. Faye bought the same watch at 1360. What was the percentage discount given to Faye?

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Solution

Step 1: Find the original price of the watch

Devi bought the watch at 1424afteran111424 after an 11% discount. This means that 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 = 16001600 - 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% = (240/240 / 1600) * 100% = 15%

So, Faye was given a 15% discount.

This problem has been solved

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