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Question
the selling price of 15 items equals the coast of 20 items.what is the percentage profit earnd by the seller?
15%
20%
25%
33.33%
none
ANSWER : 4
Descrption
<p style="margin-left:0px;">To find the percentage profit earned by the seller, we need to compare the selling price to the cost price.</p><p style="margin-left:0px;">Let's assume the cost price of each item is "C" taka, and the selling price of each item is "S" taka.</p><p style="margin-left:0px;">According to the problem, the selling price of 15 items equals the cost of 20 items:</p><p style="margin-left:0px;">15S = 20C</p><p style="margin-left:0px;">Now, let's calculate the profit per item, which is the difference between the selling price and the cost price:</p><p style="margin-left:0px;">Profit per item = S - C</p><p style="margin-left:0px;">To find the percentage profit, we'll use the formula:</p><p style="margin-left:0px;">Percentage Profit = (Profit per item / Cost Price) * 100</p><p style="margin-left:0px;">We already have the equation 15S = 20C. Let's solve it for S:</p><p style="margin-left:0px;">S = (20C) / 15</p><p style="margin-left:0px;">Now, substitute this value of S into the profit per item equation:</p><p style="margin-left:0px;">Profit per item = ((20C) / 15) - C</p><p style="margin-left:0px;">To simplify further:</p><p style="margin-left:0px;">Profit per item = (20C/15) - (15C/15)</p><p style="margin-left:0px;">Profit per item = (20C - 15C) / 15</p><p style="margin-left:0px;">Profit per item = 5C / 15</p><p style="margin-left:0px;">Now, calculate the percentage profit:</p><p style="margin-left:0px;">Percentage Profit = (Profit per item / Cost Price) * 100</p><p style="margin-left:0px;">Percentage Profit = ((5C / 15) / C) * 100</p><p style="margin-left:0px;">Percentage Profit = (5/15) * 100</p><p style="margin-left:0px;">Percentage Profit = (1/3) * 100</p><p style="margin-left:0px;">Percentage Profit = 33.33%</p><p style="margin-left:0px;">So, the seller earned a percentage profit of 33.33%.</p>
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