A shopkeeper listed the price of goods at $30 \%$ above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of $15 \%$ and the remaining at $30 \%$ discount. His overall profit is.......$\%$

A plate was sold for $Rs.\,6,300$ after giving two successive discounts of $12^{1 / 2} \%$ and $10 \% .$ Find the marked price. (in $Rs.$)

Ramesh purchased a bicycle for $Rs.\,5200$ and spent $Rs.\,800$ on its repairs. He had to sell it for $Rs.\,5500.$ Find out his profit or loss percent.

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$, then the value of $x$ is in $Rs.$

A man sells an article at $5 \%$ above its cost price. If he had bought it at $5 \%$ less than what he had paid for it and sold it at $Rs.\, 2$ less, he would have gained $10 \% .$ The cost price of the article is (in $Rs.$)

$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of........$\%$