$A$ dealer marks his goods $30\%$ above his cost price and then allows a $15\%$ discount on it. What is the cost price of an article on which he gains $₹84$?

On selling an article for $Rs. 500$,the loss incurred is $20 \%$. To make a profit of $20 \%$,the article must be sold at what price in $Rs.$?

$A$ cycle dealer offers a discount of $10 \%$ and still makes a profit of $26 \%$. What does he pay for a cycle whose marked price is $₹ 840$? (in $₹$)

The cost of an article including the sales tax is $Rs. 616$. The rate of sales tax is $10 \%$. If the shopkeeper has made a profit of $12 \%$,then the cost price of the article is in $Rs.$?

$A$ shopkeeper sold two bicycles for $Rs. 1500$ each. On one,he gains $25\%$ and on the other he loses $20\%$. His gain or loss per cent in the whole transaction is

Arun purchased $30 \, kg$ of wheat at the rate of $Rs. \, 11.50$ per $kg$ and $20 \, kg$ of wheat at the rate of $Rs. \, 14.25$ per $kg$. He mixed the two and sold the mixture. Approximately at what price per $kg$ should he sell the mixture to make $30 \%$ profit? (in $Rs.$)