document.write( "Question 887664: The price of sugar decreased by 20% and this decrease in price enables a man to purchase 1kg more of sugar for Rs. 90/-. find the present as well as the previous price of sugar per kg. \n" ); document.write( "
Algebra.Com's Answer #536801 by josgarithmetic(39616)\"\" \"About 
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Let p = the original price
\n" ); document.write( "Let q = the original quantity purchased
\n" ); document.write( "ASSUME that the original purchase for for Rs. 90 AND this is the same amount of Rs. for the purchase at the reduced price (which was actually given).\r
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\n" ); document.write( "\n" ); document.write( "Before the discount, \"p%2Aq=90\"\r
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\n" ); document.write( "\n" ); document.write( "After new discount price, \"%280.8%29p%28q%2B1%29=90\", 80% of original price is same as 20% discount price.\r
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\n" ); document.write( "\n" ); document.write( "At discount, simplification... \"0.8pq%2B0.8p=90\"
\n" ); document.write( "\"pq%2Bp=90%2F0.8\"
\n" ); document.write( "\"pq%2Bp=225%2F2\"
\n" ); document.write( "Substitute using \"before\" equation,
\n" ); document.write( "\"90%2Bp=225%2F2\"
\n" ); document.write( "\"p=225%2F2-90\"
\n" ); document.write( "\"highlight%28p=22.5%29\" Rs. The original or previous price.\r
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\n" ); document.write( "\n" ); document.write( "You want to find 80% of 22.5 for knowing the discount price.
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