$P$ invests $Rs.\, 9100$ for $3\, months.$ $Q$ invests $Rs.\, 6825$ for $2\, months$ and $R$ $Rs.\, 8190$ for $5\, months$ in a business. If the total profit amounts to $Rs.$ $4158,$ how much profit should $Q$ get? (in $Rs.$)

A man buys a cycle for $Rs$ $1400$ and sells it at a loss of $15 \% .$ What is the selling price of the cycle? (in $Rs.$)

If the selling price of $40$ articles is equal to the cost price of $50$ articles, the loss or gain percent is

A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

$A$ 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 $Rs.$)

If the selling price of $\frac{2}{3}$ of a certain quantity of milk be equal to the cost price of whole milk, then what will be the gain percent in this transaction?