Anisa and Devi wanted to buy gifts for their parents. Anisa bought a necklace at $2024 after a 12% discount. Devi bought the same necklace at $1357. What was the percentage discount given to Devi?
Question
Anisa and Devi wanted to buy gifts for their parents. Anisa bought a necklace at 1357. What was the percentage discount given to Devi?
Solution
Sure, here are the steps to solve the problem:
Step 1: Find the original price of the necklace. Since Anisa bought the necklace with a 12% discount, the original price (P) can be calculated as follows:
2024 = P - 0.12P 2024 = 0.88P P = 2024 / 0.88 P = $2300
Step 2: Calculate the discount percentage for Devi. The discount percentage can be calculated as follows:
Discount = Original Price - Sale Price Discount = 1357 Discount = $943
Discount Percentage = (Discount / Original Price) * 100 Discount Percentage = (2300) * 100 Discount Percentage = 41%
So, the percentage discount given to Devi was 41%.
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