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?

A shopkeeper sold some article at the rate of $Rs.\, 35$ per article and earned profit of $40 \% .$ At what price each article should have been sold so that profit of $60 \%$ was earned. in$Rs.$

Nutan bought $30$ dozens of oranges for her juice stall in the school fair. She paid $Rs.\, 8$ per dozen of oranges. She also had to pay $Rs\, 500$ as the stall fee to the school authorities. She calculated that each glass'of juice would need $3$ oranges. How much should she charge per glass of juice so as to make $20 \%$ profit in $Rs?$

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 $Rs$)

Profit earned by selling an article of $Rs.\, 1630$ is same as the loss incurred by selling the article for $Rs.$ $1320 .$ What is the $CP$ in $Rs$?