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 $\%$)?

$A$ manufacturer fixes his selling price at $33 \%$ over the cost of production. If the cost of production goes up by $12 \%$ and the manufacturer raises his selling price by $10 \%$,what is his new percentage profit?

On a $Rs. 10,000$ payment order,a person has a choice between three successive discounts of $10\%, 10\%$ and $30\%$ and three successive discounts of $40\%, 5\%$ and $5\%$. By choosing the better offer,how much can he save in $Rs.$?

Find a simple discount equivalent to a discount series of $10 \%, 20 \%$ and $25 \%$ (in $\%$).

At what price should a shopkeeper mark a radio that costs him $Rs. 1200$ in order that he may offer a discount of $20 \%$ on the marked price and still make a profit of $25 \% ?$

$A$ shopkeeper professes to sell his goods at cost price but uses a weight of $800 \text{ g}$ instead of a $1 \text{ kg}$ weight. His profit percentage is: