S Purkayastha Solutions for Chapter: Percentage and Its Applications, Exercise 4: CHECK POINT

A bicycle dealer allows $13\%$ discount on the advertised price and then makes a profit of $16\%$ on his outlay. Find the advertised price if his profit is$₹45$.

A scooter dealer allows a discount of $16\%$ on the marked price. However, he still makes a profit of $20\%$ on the cost price. Find the profit he would have made, had he sold the scooter at the marked price.

A shopkeeper bought a sewing machine for $₹2700$ and marked some price on it. After allowing a discount of $20\%$ on the marked price, he loses $8\%$. Find the marked price of the sewing machine.
 

The selling price (marked price) of a packet of surf is $₹24$ but a shopkeeper gives a soap costing $₹3$ free with it. By doing so he still gains $5$ per cent. Find the cost price of the packet of surf.

A shopkeeper marks his goods $10\%$ above the cost price and allows a discount of $10\%$. What per cent does he gain or loss?

A grocer marks his goods $25\%$ above the cost price and allows a discount of $20\%$ to his customers. Find his gain or loss per cent.

A publisher allows $15\%$ discount on the marked price of a book. He still makes a profit of $19\%$ on it. Find the gain per cent if he sells it on the marked price.

The list price of a table is $₹480$ and it is available to retailer at $25\%$ discount. For how much should retailer sell to gain $15\%$?