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 $\%$)?

$A$ man buys $100 \, kg$ of sugar for $Rs. \, 2400$. He sold $1/4$th of the stock at a loss of $5 \%$. At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

Aditya sold a $TV$ to Sanjay at $12 \%$ more than the $CP.$ If Sanjay paid $Rs. 17696$ for that $TV,$ then what was the original price $(CP)$ of the $TV$ in $Rs.$?

$A$ shopkeeper buys $144$ items at $90$ paisa each. On the way,$20$ items are broken. He sells the remainder at $₹ 1.20$ each. His gain percent,correct to one place of decimal,is:

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

The cash difference between the selling prices of an article at a profit of $4 \%$ and $6 \%$ is $Rs. 3$. The ratio of the two selling prices is: