Arun bought a pair of skates at a sale where the discount given was 20%. If the amounthe pays is ₹1,600, find the marked price.
Question
Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is ₹1,600, find the marked price.
Solution
Let's solve the problem step by step:
Step 1: Let's assume the marked price of the skates is 'x' rupees.
Step 2: The discount given is 20%, which means Arun paid 80% of the marked price.
Step 3: We can calculate the amount Arun paid by multiplying the marked price by 80%: Amount paid = x * 80/100 = 0.8x
Step 4: We are given that Arun paid ₹1,600, so we can set up the equation: 0.8x = ₹1,600
Step 5: To find the marked price, we need to isolate 'x' in the equation. We can do this by dividing both sides of the equation by 0.8: x = ₹1,600 / 0.8
Step 6: Simplifying the right side of the equation: x = ₹2,000
Therefore, the marked price of the skates is ₹2,000.
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