A dishonest dealer defrauds to the extent of | vedclass

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Question

(C) Let the actual cost price of the goods be $100$ units.When buying,the dealer cheats by $x \%$,meaning he gets $(100 + x)$ units for the price of $

Vedclass · Accepted Answer

$\left(2 x + \frac{x^2}{100}\right) \%$

Vedclass · Answer

(C) Let the actual cost price of the goods be $100$ units.When buying,the dealer cheats by $x \%$,meaning he gets $(100 + x)$ units for the price of $100$ units. Thus,the effective cost price per unit decreases.When selling,the dealer cheats by $x \%$,meaning he sells $(100 - x)$ units for the price of $100$ units. Thus,the effective selling price per unit increases.Alternatively,using the concept of successive percentage change for a gain of $x \%$ in both transactions:Total Gain $\% = x + x + \frac{x 	imes x}{100} = \left(2 x + \frac{x^2}{100}ight) \%$.

$A$ dishonest dealer defrauds to the extent of $x \%$ in buying as well as selling his goods by using faulty weight. What will be the gain per cent on his outlay?

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