With a $5 \%$ discount on the cost of sugar, a buyer could purchase $2\, kg$ more sugar for $Rs.$ $608 .$ Selling price of sugar is? (in $Rs$)

$X$ sells two articles for $Rs.\, 4,000$ each with no loss and no gain in the interaction. If one was sold at a gain of $25 \%$ the other is sold at a loss of........$\%$

A shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $Rs.\,56$ on one item. His advertised price of the item, in $Rs.$ is

A wholesaler had $200$ dozens of mangoes. He sold some of these mangoes at $20 \%$ profit and the rest at $10 \%$ profit, so that he made $13 \%$ profit on selling all the mangoes. How many mangoes (in dozens) did he sells at $20 \%$ profit?

A fair price shopkeeper takes $10 \%$ profit on his goods. He lost $20 \%$ goods during theft his loss $\%$ is

$P$ 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 $Rs.$)