The price of a pair of trousers was decreased by 22% at $30. What was the original price?

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let x be price : x(1-0.22)=30,find x

To find the original price of the trousers, we can use the concept of percentages.

We know that the price of the trousers was decreased by 22% to reach $30.

Let's call the original price of the trousers "P".

To find the original price, we can set up the equation:

P - 22% of P = $30

Step 1: Convert 22% to its decimal equivalent.

22% = 0.22

Step 2: Rewrite the equation using the decimal equivalent.

P - 0.22P = $30

Step 3: Combine like terms.

0.78P = $30

Step 4: Solve for P by dividing both sides of the equation by 0.78.

P = $30 / 0.78

P ≈ $38.46

Therefore, the original price of the pair of trousers was approximately $38.46.