Mathematics·Percentages·grades 6–9

After a 15% discount an item costs 2550 ₪ — what was the price before the discount?

Problem

After a price cut of 15% the item costs 2550 ₪. What did it cost before the discount?

Answer

3000 ₪

Step-by-step solution

Step 1. What a 15% discount means
If the price was cut by 15%, then $100\% - 15\% = 85\%$ of it is left, that is a factor of $0.85$ of the original price.
Step 2. Set up an equation
Let the original price be $x$ . Then $x \cdot 0.85 = 2550$ .

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Step 3. Find x
Step 4. Check

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Common mistakes

Adding 15% to 2550 instead of dividing by 0.85 — that gives a wrong result ( $\approx 2932$ ).
Taking 15% of 2550 rather than of the original price we are looking for.

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