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A hawker buys 250 apples at a cost of 
$645, of which 
14% of them are rotten and must be discarded. The hawker sets the selling price for each of the remaining apples so that the overall profit percent is not less than 
30%. Find the range of the selling price of each apple.

A hawker buys 250250 apples at a cost of $645 \$ 645 , of which 14% 14 \% of them are rotten and must be discarded. The hawker sets the selling price for each of the remaining apples so that the overall profit percent is not less than 30% 30 \% . Find the range of the selling price of each apple.

Full solution

Q. A hawker buys 250250 apples at a cost of $645 \$ 645 , of which 14% 14 \% of them are rotten and must be discarded. The hawker sets the selling price for each of the remaining apples so that the overall profit percent is not less than 30% 30 \% . Find the range of the selling price of each apple.
  1. Calculate total apples: Calculate the number of apples that are not rotten.\newlineTotal apples = 250250\newlineRotten apples = 14%14\% of 250250 = 0.14×2500.14 \times 250 = 3535 apples\newlineRemaining apples = 25035250 - 35 = 215215 apples
  2. Calculate total cost: Calculate the total cost of the apples that are not rotten.\newlineTotal cost = $645\$645\newlineCost per apple = $645/250=$2.58\$645 / 250 = \$2.58 per apple\newlineCost for non-rotten apples = 215×$2.58=$554.70215 \times \$2.58 = \$554.70

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