Marked price of an article is 20000. The dealer allows a successive discount of 20% and 10% and still gains 44% .What is his cost price of the article?
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The cost price of the dealer is 10000 rupees .
Step-by-step explanation:
Marked price of the article is 20000 rupees .
after a 20% discount , the price becomes ( 20000 × 80/100 ) rupees .
after a 10% discount again ,
the price becomes ( 20000 × 80/100 × 90/100 ) rupees .
Let , the cost price of the dealer is C rupees .
amount of money after the 44% gain is ( C × 144/100 ) rupees .
Hence , ( C × 144/100 ) = ( 20000 × 80/100 × 90/100 )
⇒ C = ( 20000 × 80 × 90 × 100 )/( 100 × 100 × 144 )
⇒ C = 10000 rupees
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