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If a discount of 20% is applied to a product and then another discount of 15% is applied to the reduced price, what is the overall discount percentage?

Question

If a discount of 20% is applied to a product and then another discount of 15% is applied to the reduced price, what is the overall discount percentage?

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Solution

Step 1: Let's assume the original price of the product is $100 for simplicity.

Step 2: A 20% discount is applied first. So, the discount amount would be 20% of 100,whichis100, which is 20. Therefore, the price after the first discount is 100100 - 20 = $80.

Step 3: Then, a 15% discount is applied to the reduced price of 80.So,thediscountamountwouldbe1580. So, the discount amount would be 15% of 80, which is 12.Therefore,thepriceaftertheseconddiscountis12. Therefore, the price after the second discount is 80 - 12=12 = 68.

Step 4: The overall discount is the original price minus the final price, which is 100100 - 68 = $32.

Step 5: To find the overall discount percentage, we divide the overall discount by the original price and multiply by 100. So, the overall discount percentage is (32/32 / 100) * 100 = 32%.

So, the overall discount percentage is 32%.

This problem has been solved

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