$A$ and $B$ jointly made a profit of $Rs.\, 1650$ and they decided to share it such that $\frac{1}{3}$ of $A$ 's profit is equal to $\frac{2}{5}$ of $B$ 's profit. Then profit of $B$ is (in $Rs.$)

A man purchased $150$ pens at the rate of $Rs.\, 12$ per pen. He sold 50 pens at gain of $10 \% .$ The percentage gain at which he must sell the remaining pens so as to gain $15 \%$ on the whole outlay is........$\%$

A product when sold with $10 \%$ rebate on the listed price gave a profit of $Rs$ $70 .$ What was its cost price? (in $Rs$)

The cost of an article including the sales tax is $Rs.\, 616$. The rate of sales tax is $10 \%$, if the shopkeeper has made a profit of $12 \%$, then the cost price of the article is in $Rs.$?

A loss of $19 \%$ gets converted into profit of $17 \%$ when the selling price is increased by $Rs. 162$ . Find the cost price of the article. in $Rs.$

Arun marks up the computer he is selling by $20 \%$ profit and sells them at a discount of $15 \%$. Arun's net gain percent is