$'A ^{\prime}$ 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 $Rs.$)

Arun purchased $30\, kg$ of wheat at the rate of $Rs.\,11.50$ per $kg$ and $20\, kg$ of wheat at the rate of $Rs.\,14.25$ per $kg$. He mixed the two and sold the mixture. Approximately at what price per $kg$ should he sell the mixture to make $30 \%$ profit? (in $Rs.$)

A man sells an article at a loss of $5 \% .$ If he had bought it at $20 \%$ more and sold it for $Rs.\,115$ less, he would have made a loss of $40 \% .$ Find the cost price of the article.

Profit of $Rs.\, 144000$ has to be divided among three partners Akram, Bipin and Chintan in the ratio $3 : 2: 7 .$ How much $Rs.$ does Chinatn get?

By selling an article for $Rs$ $384,$ a trader gains $20 \%$. Find the cost price of article.

A shopkeeper listed the price of goods at $30 \%$ above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of $15 \%$ and the remaining at $30 \%$ discount. His overall profit is.......$\%$