Mr. Verma sold his scooter for $Rs. 10500$ at a gain of $5 \%$. Find out the cost price of the scooter (in $Rs.$).

The price of an article is raised by $30 \%$ and then two successive discounts of $10 \%$ each are allowed. Ultimately,the price of the article is

If an item is sold for $Rs. 924$,there is a profit of $10\%$. What is the cost price?

$A$ person sold a radio at a loss of $5 \%$. Had he sold it for $Rs. 210$ more,he would have gained $25 \%$. For what value should he sell it in order to gain $35 \%?$

$A$ fruit seller sells mangoes at the rate of $Rs. 9$ per $kg$ and thereby loses $20\%$. At what price per $kg$ should he have sold them to make a profit of $5\%$? (in $Rs.$)

If a shopkeeper wants to give a $20 \%$ discount on a toy, he has to sell it for $Rs. 300$. If he sells it at $Rs. 405$, then his gain percent is: (in $\%$)