document.write( "Question 1208072: the mass of a bag of red star sugar is 20% greater than the mass of a bag of blue star sugar. However, a bag of red star sugar costs 50% more than a bag of blue star sugar. for the same mass, red star sugar costs how much percent more than blue star sugar? \n" ); document.write( "
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\n" ); document.write( "\"The mass of a bag of red star sugar is 20% greater than the mass of a bag of blue star sugar.\"

\n" ); document.write( "Arbitrarily, suppose the bag of red star sugar is 6kg and the bag of blue star sugar is 5kg.

\n" ); document.write( "\"However, a bag of red star sugar costs 50% more than a bag of blue star sugar.\"

\n" ); document.write( "Arbitrarily, suppose the bag of red star sugar costs $3 and the bag of blue star sugar costs $2.

\n" ); document.write( "\"For the same mass, red star sugar costs how much percent more than blue star sugar?\"

\n" ); document.write( "The cost per kg of the red star sugar is $3/6kg = $0.50; the cost per kg of the blue star sugar is $2/5kg = $0.40.

\n" ); document.write( "The ratio of the costs per kg of the red and blue sugars is $0.50/$0.40 = 5/4 = 1.25 = 125%; so for the same mass the red star sugar costs 25% more then the blue star sugar.

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