A dishonest trader defrauds, by false balance, to the extent of 10% in buying as well as in selling his goods. His gain percent is:
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Let the original quantity be 100 units.
Whilst buying, he cheats and gets a gain of 10%.
>> 100*110/100
= 110 units
*he gets 110 units for the price of 100 units*
Whilst selling, he makes a profit of 10%
= 110*110/100
= 121 units
*he sells 121 units for the price of 100 units*
Gain % = [(Gain + original number) - (Original Number)] *100/Original number
= (121–100)/100 * 100
= 21%
Whilst buying, he cheats and gets a gain of 10%.
>> 100*110/100
= 110 units
*he gets 110 units for the price of 100 units*
Whilst selling, he makes a profit of 10%
= 110*110/100
= 121 units
*he sells 121 units for the price of 100 units*
Gain % = [(Gain + original number) - (Original Number)] *100/Original number
= (121–100)/100 * 100
= 21%
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