If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling at cost price, what was the % markup?
1). 42.85%
2). 58.54%
3). 66.67%
4). 79.85%
If the merchant offers a discount of 40% on the marked price, then the goods are sold at 60% of the marked price.
∴ selling @ 40% discount = 60% of marked price (M) = cost price (C).
⇒ (60/100) × M = C
∴ M = (100/60) × C = 1.666667 × C
∴ % markup = 66.67%