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pratik2018
A vendor sells specialty gift baskets at a price of $50.00 per basket, which represents a markup of 25% above the cost to produce each basket. The vendor prepared and delivered an order of 120 baskets to a customer. However, that customer returned 15 baskets and requested a partial refund. How much should the vendor refund per basket so that the vender makes a 20% profit on the initial cost of the 120 baskets?

$10
$16
$20
$34
$40


The $50 selling price yields 25% profit and thus is equal to 125% of the cost per basket.
The final selling price yields 20% profit and thus is equal to 120% of the cost per basket.
The following proportion is implied:
\(\frac{50}{x} = \frac{125}{120}\)
\(\frac{50}{x} = \frac{25}{24}\)
\(25x = 24*50\)
\(x = 24*2\)
\(x = 48\)

The $48 final selling price is $2 less than the original $50 selling price, implying that $2 must be refunded for each of the 120 baskets:
\(2*120 = 240\)
Since this $240 refund is divided equally among the 15 returned baskets, the refund per basket = \(\frac{240}{15} = \frac{80}{5} = 16\)

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GMATGuruNY
pratik2018
A vendor sells specialty gift baskets at a price of $50.00 per basket, which represents a markup of 25% above the cost to produce each basket. The vendor prepared and delivered an order of 120 baskets to a customer. However, that customer returned 15 baskets and requested a partial refund. How much should the vendor refund per basket so that the vender makes a 20% profit on the initial cost of the 120 baskets?

$10
$16
$20
$34
$40


The $50 selling price yields 25% profit and thus is equal to 125% of the cost per basket.
The final selling price yields 20% profit and thus is equal to 120% of the cost per basket.
The following proportion is implied:
\(\frac{50}{x} = \frac{125}{120}\)
\(\frac{50}{x} = \frac{25}{24}\)
\(25x = 24*50\)
\(x = 24*2\)
\(x = 48\)

The $48 final selling price is $2 less than the original $50 selling price, implying that $2 must be refunded for each of the 120 baskets:
\(2*120 = 240\)
Since this $240 refund is divided equally among the 15 returned baskets, the refund per basket = \(\frac{240}{15} = \frac{80}{5} = 16\)


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