An article was purchased for $Rs.\,78,350.$ Its price was marked up by $30 \% .$ It was sold at a discount of $20 \%$ on the marked$-$up price. What was the profit percent on the cost price?

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 $Rs.$)

Find $CP$ when $SP = Rs.\, 51 .70, \operatorname{loss}=12 \% ?$

A shopkeeper sold an article offering a discount of $5 \%$ and earned a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount was offered?

Sudeep buys two $CDs$ for $Rs.\,380$ and sells one at a loss of $22 \%$ and the other at a gain of $12 \%$. If both the $CDs$ are sold at the same price, then the cost price of two $CDs$ is (in $Rs.$)