A shopkeeper buys a toy at $Rs.\,100$ and sells it at $Rs.$ $125 .$ Another shopkeeper buys the same toy at $Rs.\, 125$ but sells it at $Rs.$ $100 .$ What are the respective profit and loss percentages for the two shopkeepers.

A shopkeeper marks his goods at $40 \%$ above their cost price. He is able to sell $\frac{3}{4}$ th of his goods at this price, and the remaining at $40 \%$ discount. Assuming that the shopkeeper is able to sell the goods he buys, find his loss or gain as $\%$ of the whole transaction.

Rehaan purchased a bike for $Rs.\,54,000.$ He sold it at a loss of $8 \% .$ With that money, he again purchased another bike and sold that at a profit of $10$ percent. What is his overall loss/profit?

Ram sells an article to Girish at a gain $20 \%$, Girish sells it to Sanjay at a gain of $10 \%$ and Sanjay sells it to Aditya at a gain of $12 \frac{1}{2} \% .$ If aditya pay $Rs.\, 59.40.$ What did it cost Ram in $Rs.$?

Successive discounts of $10 \%, 12 \%$ and $15 \%$ amount to a single discount of

A men bought apples at the rate of $8$ for $Rs.\, 34$ and sold them at the rate of $12$ for $Rs.\, 57 .$ How many apples should be sold to earn a net profit of $Rs.$ $45 ?$