A calendar is sold for $45 after a 10% increase in price. What was the original

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Question: A calendar is sold for $45 after a 10% increase in price. What was the original price?

Options:

Correct Answer: $40

Solution:

Let the original price be x. Then, x + (10/100 * x) = 45. Solving gives x = $40.

A calendar is sold for $45 after a 10% increase in price. What was the original price?

A calendar is sold for $45 after a 10% increase in price. What was the original price?

Step 1: Let the original price of the calendar be represented by 'x'.
Step 2: A 10% increase in price means we add 10% of 'x' to 'x'.
Step 3: 10% of 'x' can be calculated as (10/100) * x, which simplifies to 0.1 * x.
Step 4: So, the new price after the increase is x + 0.1 * x.
Step 5: This can be rewritten as 1.1 * x (since x + 0.1 * x = 1.1 * x).
Step 6: We know that the new price is $45, so we set up the equation: 1.1 * x = 45.
Step 7: To find 'x', we need to divide both sides of the equation by 1.1.
Step 8: So, x = 45 / 1.1.
Step 9: Calculate 45 / 1.1, which equals $40.
Step 10: Therefore, the original price of the calendar was $40.

Percentage Increase – Understanding how to calculate the original price after a percentage increase.
Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.