Question

A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of $950\mathrm{grams}$ for kilogram. Thus his gain percent Is ?

Answer 1

Let the cost price of $1\mathrm{kg}$ of pulses be $₹1000$.

Cost price of $950\mathrm{grams}$ of pulses$=₹950$

Since he is using false weight of $950\mathrm{grams}$ in place of one kilogram.

Therefore, he is gaining the cost price of $50\mathrm{grams}$ i.e. $₹50$

Therefore,

$\begin{array}{rcl}\mathrm{Gain}\%& =& \frac{\mathrm{Gain}}{\mathrm{Cost}\mathrm{Price}}\times 100\\ & =& \frac{50}{1000}\times 100\\ & =& 5\%\end{array}$

Hence, shopkeepers gain percent is $5\%$.