A sells an article to $B$ at a gain of $20 \%$ and $B$ sells it to $C$ at a gain of $10 \%$ and $C$ sells it to $D$ at a gain of $12 \frac{1}{2} \% .$ If $D$ pays $Rs.\, 29.70,$ then $A$ purchased the article for (in $Rs.$)

A dealer sold two types of goods for $Rs. 10,000$ each. On one of them, he lost $20 \%$ and on the other he gained $20 \%$. His gain or loss per cent in the entire transaction was

Two discounts of $40 \%$ and $20 \%$ equal to a single discount of $\%$?

A shopkeeper bought $30\, Kg$ of wheat at the rate of $Rs.\,45$ per $Kg.$ He sold $40\%$ of the total quantity at the rate of $Rs.\,50$ per $Kg.$ Approximately, at what price per $Kg$ should he sell the remaining quantity to make $25$ percent overall profit? (in $Rs.$)

A men sells two houses at the rate of $Rs.\,1.995$ Lakhs each. On one house he gains $20 \%$ and on the other he loses $20 \% .$ His gain or loss per cent in the whole transaction is

A trader sells his table at a profit of $15 \%$ and the chair at a loss of $7 \frac{1}{2} \%,$ but on the whole he gains $Rs.\, 50 .$ If he sells the table at a loss of $7 \frac{1}{2} \%,$ and chair at a profit of $15 \%,$ then he neither gains nor loses. Find the cost price of the table