Savita buys $5$ shirts and $10$ pants for $Rs.$ $1600 .$ She sells shirts at a profit of $15 \%$ and pants at a loss of $10 \% .$ If her over all profit was $Rs.\,90$ what was the cost price of a shirt and a pant in $Rs.$?

A men gains $20 \%$ by selling an article for a certain price. If he sells it at double the price, what will be the percentage of profit?

A wholesaler had $200$ dozens of mangoes. He sold some of these mangoes at $20 \%$ profit and the rest at $10 \%$ profit, so that he made $13 \%$ profit on selling all the mangoes. How many mangoes (in dozens) did he sells at $20 \%$ profit?

Two items $A$ and $B$ are sold at a profit of $10 \%$ and $15 \%,$ respectively. If the amount of profit received is the same, then the cost price of $A$ and $B$ may be (in $Rs.$)

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 $Rs.$ $45 ?$

The cost price of $20$ articles is the same as the selling price of $x$ articles. If the profit is $25 \%$, then the value of $x$ is in $Rs.$