The marked price of a watch was $Rs.\, 720 .$ A man bought the same for $Rs.\, 550.80$ after getting two successive discounts, the first being $10 \% .$ What was the second discount rate? (in $\%$)

Allowing $20 \%$ and $15 \%$ successive discounts, the selling price of an article becomes $Rs.\,3,060;$ then the marked price will be (in $Rs.$)

An article was purchased for $Rs.\,78,350.$ Its price was marked up by $30 \% .$ It was sold at a discount of $20 \%$ on the marked$-$up price. What was the profit percent on the cost price?

The market price of an article is $Rs.$ $100 .$ If the article is sold at a discount of $10 \%,$ then $35 \%$ profit is realised. How much loss or profit will be made if it is sold for $Rs.\, 30$ less than market price?

A loss of $19 \%$ gets converted into a profit of $17 \%$ when the selling price is increased by $Rs.162.$ The cost price of the article is (in $Rs.$)

Aditya purchase a book with a $20 \%$ discount on the marked price. How much $Rs.$ did he pay if the book marked was $Rs.$ $500 ?$