$A$ shopkeeper professes to sell his goods at cost price but uses a weight of $800 \text{ g}$ instead of a $1 \text{ kg}$ weight. His profit percentage is:

$A$ man purchased some eggs at $3$ for $Rs. 5$ and sold them at $5$ for $Rs. 12$. Thus,he gained $Rs. 143$ in all. The number of eggs he bought is:

$A$ fan in a shop is offered at a discount of $10 \%$. It is sold during a clearance sale at an additional $6 \%$ discount over the already discounted price for $Rs. 846$. The original marked price of the fan is (in $Rs.$)

$A$ shopkeeper sells sugar in such a way that the selling price of $950 \ g$ of sugar is the same as the cost price of $1 \ kg$ of sugar. What is his gain percent?

Savita buys $5$ shirts and $10$ pants for $Rs. 1600$. She sells shirts at a profit of $15\%$ and pants at a loss of $10\%$. If her overall profit was $Rs. 90$,what was the cost price of a shirt and a pant in $Rs.$?

If profit is $\left(\frac{1}{11}\right)$ of the selling price,what is the profit percent?