$Mr$ A sold a goods, to $Mr$. $B$ at $10 \%$ discounted value of printed rate. The discounted value is $Rs.\, 1242.$ If $15 \%$ profit is earned on purchase rate by selling the goods at printed rate, what is the purchase rate? (in $Rs.$)

Successive discounts of $10 \%, 12 \%$ and $15 \%$ amount to a single discount of

$X$ 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........$\%$

A sold a pen to $B$ at a profit of $20\%,$ $B$ sold the same pen to $C$ for $Rs.\,75$ thereby making a profit of $25 \% .$ Find the price at which A bought the pen? (in $Rs.$)

Half of $100$ articles were sold at a profit of $20 \%$ and the rest at a profit of $40 \% .$ If all of the articles had been sold at a profit of $25 \%,$ the total profit would have been $Rs.\,100$ less than earlier profit. The cost price of each article was (in $Rs.$)

When a producer allows $36 \%$ concession on the retail price of his product, he earns a profit of $8.8 \% .$ What would be his profit percent if the commission is reduced by $24 \% ?$