a furniture shop has a 20% off sale.
at the end of the sale, a customer complains that prices have risen by 20% in a day. Is the customer correct? Explain your answer.
No, the customer is not correct. It may appear that prices have risen by 20% because there was a previous 20% off sale, but these two percentages do not cancel each other out.
If the original price of an item was $100, with a 20% off sale, the customer would have only paid $80. If, after the sale, the price increased by 20%, it would be calculated by adding 20% of $80 ($16) to the sale price, resulting in a final price of $96.
So, the customer is mistaken in thinking that the prices have risen by 20% in a day. In reality, the prices have only increased by approximately 20% of the discounted price.
Boo
I apologize if my response was not what you were expecting or if it was not satisfactory. If you have any further questions or concerns, please let me know and I will be happy to assist you.
To determine whether the customer's claim is correct, we need to analyze the situation. Let's break it down step-by-step:
Step 1: Calculate the initial price:
If we assume that the original price of an item from the furniture shop is "x," the sale price with a 20% discount would be 80% of x, which is (80/100) * x = 0.8x.
Step 2: Calculate the price after a 20% increase:
According to the customer's claim, the price has increased by 20% from the sale price. To find the new price, we multiply the sale price (0.8x) by 1.2 (20% increase plus 100% original price). Therefore, the new price would be 0.8x * 1.2 = 0.96x.
Step 3: Compare the new price with the original price:
To determine whether the customer's claim is correct, we need to compare the new price (0.96x) with the original price (x).
If the new price (0.96x) is greater than the original price (x), then the customer's claim is correct. However, if the new price (0.96x) is less than or equal to the original price (x), then the customer's claim is incorrect.
Conclusion:
By comparing the new price (0.96x) with the original price (x), we can see that the customer's claim is incorrect. The price has not risen by 20% in a day; instead, it has decreased by approximately 4% (0.96x is less than x).