If a man reduces the selling price of a fan from $Rs. 400$ to $Rs. 380$,his loss increases by $2 \%$. The cost price of the fan is (in $Rs.$)

$A$ cash payment that will settle a bill for $250$ chairs at $Rs. 50$ per chair less $20 \%$,$15 \%$,and a further discount of $5 \%$ on cash payment is (in $Rs.$):

Charging $30 \%$ above its production cost,a radio maker puts a label of $Rs. 286$ on a radio as its price. But at the time of selling it,he allows a $10 \%$ discount on the labeled price. What will his gain be? (in $Rs.$)

$A$ vendor bought toffees at $6$ for a rupee. How many for a rupee must he sell to gain $20 \%$?

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs. 1842.75$ for it,then what did Sita pay for it? (in $Rs.$)

$A$ shopkeeper has to sell $24 \text{ kg}$ of sugar. He sells a part of these at a gain of $20 \%$ and the rest at a loss of $5 \%$. If on the whole he earns a profit of $10 \%$,what is the quantity of sugar (in $\text{kg}$) sold at a loss?