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William wants to buy a new sofa for his parents. A sofa being sold at shop A has a price of $2750, which is 45% cheaper than the price of the same sofa at shop B. During a promotion the sofa is sold at a 15% discount at shop B. What is the discounted price of the sofa at shop B?

Question

William wants to buy a new sofa for his parents. A sofa being sold at shop A has a price of $2750, which is 45% cheaper than the price of the same sofa at shop B. During a promotion the sofa is sold at a 15% discount at shop B. What is the discounted price of the sofa at shop B?

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Solution

Step 1: First, we need to find the original price of the sofa at shop B. Since the sofa at shop A is 45% cheaper, it means that 2750represents552750 represents 55% of the original price at shop B. We can set up the equation: 0.55 * Price at B = 2750.

Step 2: Solve the equation for Price at B. Price at B = 2750/0.55=2750 / 0.55 = 5000.

Step 3: Now, we need to calculate the discounted price at shop B. The discount is 15%, so the discounted price will be 85% of the original price. We can set up the equation: 0.85 * Price at B = Discounted Price.

Step 4: Solve the equation for the Discounted Price. Discounted Price = 0.85 * 5000=5000 = 4250.

So, the discounted price of the sofa at shop B is $4250.

This problem has been solved

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