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Miko bought a bicycle at a discount of 10%.After the discount, the price is $180.How much did the bicycle cost less than the usual price?

Question

Miko bought a bicycle at a discount of 10%. After the discount, the price is $180. How much did the bicycle cost less than the usual price?

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Solution

To find the original price of the bicycle before the discount, we need to understand that the $180 represents 90% of the original price (since a 10% discount was applied).

Step 1: Set up the equation Let's denote the original price as X. We know that 90% of X equals 180.Inequationform,thisis0.90X=180. In equation form, this is 0.90X = 180.

Step 2: Solve for X To solve for X, we divide both sides of the equation by 0.90. This gives us X = 180/0.90=180 / 0.90 = 200.

So, the original price of the bicycle was $200.

Step 3: Find the discount amount To find how much the bicycle cost less than the usual price, we subtract the discounted price from the original price. This gives us 200200 - 180 = $20.

So, the bicycle cost $20 less than the usual price.

This problem has been solved

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