A dishonest dealer sells goods at a $$6\frac{1}{4}\%$$​ loss on cost price but actually gives 14 gm of goods for every 16 gm that is mentioned on the weight. His gain or loss percent is:

Correct option is C

Given:

Selling Price of goods = $$6\frac{1}{4}\% loss$$​​

Weight used in place of 16gm = 14gm

Formula Used:

Profit Percentage $$= \frac{Profit}{Cost\ Price} \times 100$$​​

Solution:

Let the cost of goods be ₹1 per gram

CP of 16gm of goods = ₹16

Shopkeeper sells goods at $$6\frac{1}{4}\% loss \text{ or } \frac{25}{4}\% loss$$​​

Hence SP =$$16 - 16 \times \frac{\frac{25}{4}}{100}$$​= 16-1 = ₹15

He also uses 14 gm instead of 16gm

Hence he takes ₹16 instead of ₹14

Profit of shopkeeper = 16-15 = ₹1

Profit =$$\frac{1}{14} \times 100 = \frac{50}{7} = 7\frac{1}{7}\%$$​​

Alternative Method:

Profit $$= 6\frac{1}{4}\% = \frac{25}{4}\% =\frac{1}{16}$$​​

At the time of selling he uses 14gm in place of 16gm

CP         SP

16         15

14         16

224       240

Profit = 240 - 224 = 16

Profit Percent =$$\frac{16}{224} \times 100 = \frac{50}{7}\% = 7\frac{1}{7}\%$$​ Gain