A person first increases the price of a commodity by 8% and then he announces a discount of 18%. What is the actual discount (in %) on the original price?

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Accepted Answer

Let the original price be 100 units.

Step 1: Increase the price by 8%.
New price = 100 + 8% of 100 = 100 + 8 = 108 units.

Step 2: Apply a discount of 18% on the increased price.
Discount = 18% of 108 = (18/100) * 108 = 19.44 units.

Price after discount = 108 - 19.44 = 88.56 units.

Step 3: Calculate the actual discount on the original price.
Actual discount = Original price - Price after discount = 100 - 88.56 = 11.44 units.

Step 4: Convert the actual discount into percentage of original price.
Actual discount % = (11.44 / 100) * 100 = 11.44%.

Therefore, the actual discount on the original price is 11.44%.

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