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view the Singapore model method - Home Page | TOC Theory of ...

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Example problem #2. A store gives 10% discount to allstudents <strong>of</strong>f <strong>the</strong> original cost <strong>of</strong> any item. If an additional 15%is taken <strong>of</strong>f <strong>the</strong> discounted price, how much is <strong>the</strong> originalprice if a student purchases an item for $306?Solution:1 st 10% store discount represent 90% <strong>of</strong> original price .(100% – 10% = 90%)2 nd Discount price represent 85% <strong>of</strong> <strong>the</strong> first discount price <strong>of</strong> 90% = 0.85 x0.90 = 0.765Therefore <strong>the</strong> final price represent 76.5% <strong>of</strong> <strong>the</strong> original price.We need to find <strong>the</strong> unit price per percent.1% represent $306/.765 = $4.00Original price (100%) = 4 x 100= $400.00Here a pictorial bar <strong>model</strong> is used to represent <strong>the</strong> whole, (original price <strong>of</strong><strong>the</strong> item). The whole is 100%.Original Price?$3061 unit $4.0076.5% 100%1/1/201290%11/19/2011

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