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?

A shopkeeper sells a badminton racket, whose marked price is $Rs.\, 30$, at a discount of $15 \%$ and gives a shuttle cock costing $Rs.$ $1.50$ free with each racket. Even then he makes a profit of $20\%.$ His cost price per racket is (in $Rs$)

The cost price of an article is $64 \%$ of the marked price. Calculated the gain per cent after allowing a discount of $12 \%$

A cash payment that will settle a bill for $250$ chairs at $Rs.\,50$ per chair less $20 \%$ and $15 \%$ with a further discount of $5 \%$ on cash payment is (in $Rs.$)

A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

A shopkeeper gains $17 \%$ after allowing a discount of $10 \%$ on the marked price of an article. Find his profit percent if the article is sold at marked price allowing no discount.