The profit earned by selling an article for $Rs. 832$ is equal to the loss incurred when the same article is sold for $Rs. 448$. What should be the selling price for making $50\%$ profit? (in $Rs.$)

$A$ shopkeeper marks his goods at $25\%$ above his cost price and allows customers a discount of $12 \frac{1}{2}\%$ for cash. Find his $\%$ profit?

$A$ sells a bicycle to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a profit of $25 \%$. If $C$ pays $Rs. 1500$,what did $A$ pay for it in $Rs.$?

$A$ shopkeeper sells notebooks at the rate of $Rs.\, 45$ each and earns a commission of $4 \%$. He also sells pencil boxes at the rate of $Rs.\, 80$ each and earns a commission of $20 \%$. How much total commission will he earn in two weeks if he sells $10$ notebooks and $6$ pencil boxes a day? (in $Rs.$)

An article was purchased for $Rs. 78,350$. Its price was marked up by $30 \%$. It was sold at a discount of $20 \%$ on the marked-up price. What was the profit percent on the cost price (in $\%$)?

$A$ trader buys $500 \, kg$ of cotton for $Rs. 9,000$. $10 \%$ of this cotton is spoiled due to rain. At what rate $(Rs./ kg)$ should he sell the rest to earn $10 \%$ profit?