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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 = %

Question

What discount can a retailer offer on her marked price of 100sothatsheendsupsellingatnoprofitandnoloss,ifshehadinitiallymarkedhergoodsupby100 so that she ends up selling at no profit and no loss, if she had initially marked her goods up by 50?Discount = %

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Solution

To solve this problem, we need to first understand the cost price of the item.

  1. The retailer marked up the price by 50,sothecostpriceoftheitemis50, so the cost price of the item is 100 - 50=50 = 50.

  2. The retailer wants to sell the item at no profit and no loss, which means she wants to sell it at the cost price, which is $50.

  3. The discount she needs to offer is the difference between the marked price and the cost price, which is 100100 - 50 = $50.

  4. To express this discount as a percentage of the marked price, we divide the discount by the marked price and multiply by 100. So, the discount percentage is (50/50 / 100) * 100 = 50%.

So, the retailer can offer a 50% discount on her marked price of $100 to sell the item at no profit and no loss.

This problem has been solved

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