A shopkeeper bought $30\, Kg$ of wheat at the rate of $Rs.\,45$ per $Kg.$ He sold $40\%$ of the total quantity at the rate of $Rs.\,50$ per $Kg.$ Approximately, at what price per $Kg$ should he sell the remaining quantity to make $25$ percent overall profit? (in $Rs.$)

Ram sells an article to Girish at a gain $20 \%$, Girish sells it to Sanjay at a gain of $10 \%$ and Sanjay sells it to Aditya at a gain of $12 \frac{1}{2} \% .$ If aditya pay $Rs.\, 59.40.$ What did it cost Ram in $Rs.$?

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 shopkeeper sold decks at $Rs.\, 166$ each after giving $17 \%$ discount on labelled price. Had he not given the discount, he would have earned a profit of $25 \%$ on the cost price. What was the cost price of each deck? (in $Rs.$)

A discount of $15 \%$ on one article is the same as a discount of $20 \%$ on another article. The costs of the two articles can be (in $Rs.$)