A sells an article to $B$ for $Rs.\, 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

The difference between a discount of $35 \%$ and two successive discount of $20 \%$ on a certain bill was $Rs$ $22.$ Find the amount of the bill in $Rs.$

Raman, Manan and Kamal are partners and invest in a business such that Raman invests $\frac{2}{5}\,^{th}$ of total and Manan invests $\frac{3}{8}\,^{th}$ of the total. What is the ratio of profits of Raman, Manan and Kamal respectively?

Amit buys $5$ watches for $Rs.\, 9450$ and later sells them for $Rs\,.9700$ How much profit does Amit make per watch in $Rs.$?

A shopkeeper allows a discount of $10 \%$ on the marked price of an item but charges a sales tax of $8 \%$ on the discounted price. If the customer pays $Rs.\, 3,402$ as the price including the sales tax, then the marked price is (in $Rs.$)

The marked price of a clock is $Rs.\,3200.$ It is to be sold at $Rs$ $2448$ at two successive discounts. If the first discount is $10 \%$, then the second discount is.........$\%$