If a shopkeeper sells $25$ articles at $Rs. 45$ per article after giving $10 \%$ discount and earns $50 \%$ profit. If the discount is not given,what is the profit percentage gained?

The cost price of $6$ pens is equal to the selling price of $4$ pens. Find the profit percent. (in $\%$)

$A$ person sells taperecorders at $Rs. 1134$ each after giving a discount of $19 \%$ on the marked price. Had he not given the discount,he would have earned a profit of $40 \%$ on the cost price. The cost price of each taperecorder is (in $Rs.$)

$A$ person bought a horse and a carriage for $₹ 20000$. Later,he sold the horse at $20 \%$ profit and the carriage at $10 \%$ loss. Thus,he gained $2 \%$ in the whole transaction. The cost price of the horse was (in $₹$)

When a plot was sold for $Rs. 18700$,the owner lost $15 \%$. At what price must the plot be sold in order to gain $15 \%$?

$A$ shopkeeper purchased $150$ identical pieces of furniture at the rate of $Rs. 250$ each. He spent an amount of $Rs. 2500$ on packing. He fixed the price of each furniture at $Rs. 320$. However,he decided to give a discount of $5 \%$ on the labeled price. What is the percent profit earned by him (in $\%$)?