If a commission at the rate of $10 \%$ is given to a bookseller on the marked price of a book by the publisher, the publisher gains $20 \%$. If the commission is increased to $15 \%$ then the gain percent would be

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

A dealer buys an article listed at $Rs.\, 100$ and gets successive discounts of $10 \%$ and $20 \% .$ He spends $10 \%$ of the Cost Price on transportation. At what price should he sell the article to earn a profit of $15 \% ?$ (in $Rs.$)

Sanjay purchased a chair marked at $Rs.\, 800$ at $2$ successive discount of $10 \%$ and $15 \%$ respectively. He spent $Rs.\, 28$ on transportation and sold the chair for $Rs.$ $800 .$ How much is his gain percentage?

The ratio between selling price and cost price of an article is $7: 5 .$ What is the ratio between the profit and the cost price of that article?

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