Aditya purchase a book with a $20 \%$ discount on the marked price. How much $Rs.$ did he pay if the book marked was $Rs.$ $500 ?$

A trader had $1200\, kg$ of rice. He sold a part of it at $5 \%$ profit and the rest at $11 \%$ profit, so that he made a total profit of $7 \%$. How much (in $kg$ ) rice did he sell at $5 \%$ profit?

Anil bought an item with $12 \frac{1}{2} \%$ discount on the labellea price. He sold the item with $17 \frac{1}{2} \%$ profit on the labelled price. What was, his percent profit on the price he bought?

A sells a suitcase to $B$ at $10 \%$ profit. $B$ cells it to $C$ at $30 \%$ profit. If $C$ pays $Rs.\, 2,860$ for it, then the price at which A bought it is (in $Rs.$)

A cloth merchant says that due to slump in the market, he sells cloth at $10 \%$ loss, but he uses a inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale. (in $cm$)

Sarita sells a Phone at a profit of $20 \% .$ If she had bought it at $20 \%$ less and sold it for $Rs.\, 180$ less, she would have gained $25 \%$. Find thé gost price of the Phone in $Rs.$