A shopkeeper marked his good 25% above the cost price and allows a discount of 16% on it. What
percent does he gain?
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Answer:
4.76%
Step-by-step explanation:
Let the cost price of the article be ' x '
Profit percentage = 25%
Marked price will be
=> x + 25%
=> x + 25% ( x )
=> x + 0.25x
=> 1.25x
Then provide 16% discount
=> 1.25x - 16%
=> 1.25x - 16% ( 1.25x )
=> 1.25x - 0.2x
=> 1.05x = actual seeling price
Gain = Selling price - cost price
=> Gain = 1.05x - x
=> Gain = 0.05x
Percentage of gain = ( Gain / SP ) * 100
=> % gain = ( 0.05x / 1.05x ) *100
=> % gain = ( 0.0476 ) * 100
=> % Gain = 4.76%
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