On a certain item,the profit is $150 \%$. If the cost price increases by $25 \%$,what will be the new profit margin (in $\%$)?

$A$ trader buys $500 \, kg$ of cotton for $Rs. 9,000$. $10 \%$ of this cotton is spoiled due to rain. At what rate $(Rs./ kg)$ should he sell the rest to earn $10 \%$ profit?

$A$ trader had $1200 \ kg$ of rice. He sold a part of it at $5 \%$ profit and the rest at $11 \%$ profit,so that he made a total profit of $7 \%$. How much (in $kg$) rice did he sell at $5 \%$ profit?

$A$ trader marks his goods $40 \%$ above the cost price and allows a discount of $25 \%$. The profit he makes,is in $\%$:

$A$ shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He,then,sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

Charging $30 \%$ above its production cost,a radio maker puts a label of $Rs. 286$ on a radio as its price. But at the time of selling it,he allows a $10 \%$ discount on the labeled price. What will his gain be? (in $Rs.$)