Abhishek purchased $140$ shirts and $250$ trousers at $Rs.\, 450$ and at $Rs.\, 550$ respectively. What should be the overall average selling price of shirts and trousers so that $40 \%$ profit is earned? (in $Rs.$)

(rounded off to next integer)

A trader marks his goods $40 \%$ above the cost price and allows a discount of $25 \% .$ The profit he makes, is in $\%$

$A, B, C$ are partners in a business. During a particular $year,$ A received one third of the profit, $B$ received $\frac{1}{4}$ of the profit and $C$ received the remaining $Rs.\, 5000$ How much amount of money did A receive? (in $Rs.$)

A sells an article to $B$ at $15 \%$ profit. $B$ sells it to $C$ at $10 \%$ loss. If $C$ pays $Rs.\,517.50$ for it then $A$ purchased it at

$'A ^{\prime}$ sells an article to $'B ^{\prime}$ at a gain of $20 \%$ and $' B ^{\prime}$ sells it to $'C ^{\prime}$ at a gain of $10 \%$ and $'C ^{\prime}$ sells it to $'D'$ at a gain of $12 \frac{1}{2} \%$. If ${ }^{\prime} D$ ' pays $Rs.\, 29.70$ what did it cost to $'A ^{\prime} ?$ (in $Rs.$)

A machine is sold at a profit of $15 \%$. Had it been sold for $Rs\,540$ more $24 \%$ would have been gained. Find the cost price.