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# What is the cost price of a toy marked at 280 being sold at a discount of 15 percent when the profit made in this sale 13 and a third percent?

Updated: 9/26/2023

Wiki User

7y ago

A 15% discount means the amount paid is 100% - 15% = 85 % of the full price

→ sales price = 85/100 * 280 = 238.

Now the cost price depends upon what you (or rather your question setter) means:

• If the profit is the mark-up (on cost):
mark-up = (sales_price - cost_price) / cost_price × 100%

→ cost_price = sales_price ÷ (1 + mark_up/100%)

→ cost_price = 238 ÷ (1 + 13 1/3% / 100%)

→ cost_price = 238 ÷ (34/30)

→ cost_price = 238 × 30/34 = 210

• If the profit is the profit margin (on sales)
profit_margin = (sales_price - cost_price) / sales_price × 100%

→ cost_price = sales_price × (1 - profit_margin/100%)

→ cost_price = 238 × (1 - 13 1/3% / 100%)

→ cost_print = 238 × 26/30

→ cost_price = 206 4/15 = 206.26 2/3 ≈ 206.27

Based on the roundness of the answer, your question setter probably meant the first (though the second is what most businessmen would understand by profit).

Wiki User

7y ago

Wiki User

7y ago

It is 210.

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Q: What is the cost price of a toy marked at 280 being sold at a discount of 15 percent when the profit made in this sale 13 and a third percent?
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