A fruit seller bought $240$ bananas at the rate of $Rs.\, 48$ per dozen. He sells half of them at the rate of $Rs.\,5$ per banana, $\frac{1}{6}$ th of the remaining are found to be rotten. The price per banana at which he has to sell the remaining bananas to get a profit of $25 \%$ on his entire investment is (in $Rs.$)

Ramesh purchased a bicycle for $Rs.\,5200$ and spent $Rs.\,800$ on its repairs. He had to sell it for $Rs.\,5500.$ Find out his profit or loss percent.

An article is sold for $Rs.\,4950$ at a gain of $10 \% .$ What would have been the gain or loss per cent if it had been sold for $Rs$ $4275 ?$

A person bought a horse and a carriage for $Rs.\,20000.$ Later, he sold the horse at $20 \%$ profit and the carriage at $10 \%$ loss. Thus, he gained $2 \%$ in the whole transaction. The cost price of the horse was (in $Rs.$)

The cash difference between the selling price of an article at a profit of $4 \%$ and $6 \%$ is $Rs.$ $3 .$ The ratio of the $2$ selling price is?