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Keddy wants to buy a new sofa. A sofa in shop A has a price of $2450, which is 30% cheaper than the price of the same sofa at shop B. During a promotion the sofa is sold at a 5% discount at shop B. What is the discounted price of the sofa at shop B?

Question

Keddy wants to buy a new sofa. A sofa in shop A has a price of $2450, which is 30% cheaper than the price of the same sofa at shop B. During a promotion the sofa is sold at a 5% discount at shop B. What is the discounted price of the sofa at shop B?

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Solution

Step 1: Find the original price of the sofa at shop B.

Since the sofa at shop A is 30% cheaper than at shop B, this means that $2450 is 70% of the original price at shop B.

So, we can set up the equation: 0.70 * Price at shop B = $2450

Solving for the Price at shop B gives us: Price at shop B = 2450/0.70=2450 / 0.70 = 3500

Step 2: Calculate the discounted price at shop B.

During a promotion, the sofa is sold at a 5% discount at shop B. This means that the price is reduced by 5%.

So, the discounted price is 95% of the original price.

We can calculate this as: 0.95 * Price at shop B = 0.95 * 3500=3500 = 3325

So, the discounted price of the sofa at shop B is $3325.

This problem has been solved

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