What discount can a retailer offer on her marked price of $100 so that she ends up selling at no profit and no loss, if she had initially marked her goods up by $50?Discount = $$50%
Question
What discount can a retailer offer on her marked price of 50?Discount = 50%
Solution
Sure, here's how you can calculate the discount:
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First, determine the cost price of the goods. Since the retailer marked up her goods by 100, the cost price must be 50 = $50.
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Next, calculate the discount needed to sell the goods at no profit and no loss. This would be the difference between the marked price and the cost price, which is 50 = $50.
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Finally, express this discount as a percentage of the marked price. The formula for this is (Discount / Marked Price) * 100%. So, (100) * 100% = 50%.
Therefore, the retailer can offer a 50% discount on her marked price of $100 to sell her goods at no profit and no loss.
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