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There are a few ways to look at this.
A wholesale club (like Sam's Club) might work on 15% margin, because their membership fees they charge provide their operating profit. So, as long as they make a 15% gross profit margin, selling memberships is how they make their real money.
Contrast them to a catalog retailer, who won't look at any item below $20, or any item with less than a 50% margin. So, the first criteria is : Who is the CUSTOMER and how do they make their money?
The second criteria is : category. Take a retailer like Wal-Mart. They make less than 10% markup on tablet PC. 10% on video game hardware. 20% on consumer electronics. 50% on accessories. 60% on apparel. 70% on private label food. 95% on extended warranties. Etc…
Those percentages are approximate, but just to indicate that every merchandise category is different. There is no standard answer to your question. If you are selling hammers, the margin requirement of the retailer is different than if you are selling soda pop. Every category is different.
Without disclosing the product itself, if you can indicate roughly what the large category is, I might be able to take a stab at it for you. Hardware? Electronics? Apparel? Housewares? Automotive accessories?
Anyway, the answer is going to vary by retailer, and by category. You can ask the retailer, and they will tell you. Granted, they will always give you BEST CASE SCENARIO but if you are the new kid on the block, and have an unknown brand, you may not have any strength in the negotiation anyway.
Hope that helps.