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.