$A$ 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 shopkeeper marks his goods at $25 \%$ above his cost price and allows customers a discount of $12 \frac{1}{2}\%$ for cash. Find his $\%$ profit?

A shopkeeper professes to sell his goods at cost price but uses a weight of $800\, g$ instead of kilogram weight. Thus, he makes a profit of

A sells a bicycle to $B$ at a profit of $20 \%$ and $B$ sells it to $C$ at a profit of $25 \% .$ If $C$ pays $R s .\,1500,$ what did $A$ pay for it in $RS.$?

A man invests $Rs.\, 21,000$ in shares of a company. He sells one$-$third of total shares at a profit of $10 \% .$ But the remaining shares he has to sell at $5 \%$ loss. Find his overall profit or loss $\%.$

A manufacturer fixes his selling price at $33 \%$ over the cost of production. If cost of production goes up by $12 \%$ and manufacturer raises his selling price by $10 \%,$ his percentage profit is