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 $Rs.$)

Divyam bougth an article with $15 \%$ discount on the labelled price. He sold the article with $10 \%$ profit on the labelled price. What was his percent profit on the price he bought?

Profit earned by an organization is distributed among officers and clerks in the ratio of $5: 3 .$ If the number of officers is $45$ and the number of clerks is $80$ and the amount received by each officer is $Rs.\,25,000,$ what was the total amount of profit earned? (in $Rs.$.......$lakhs$)

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 retailer offers the following discount schemes for buyers on an article

$I.$ Two successive discounts of $10 \%$

$II.$ A discount of $12 \%$ followed by a discount of $8 \%$

$III.$ Successive discounts of $15 \%$ and $5 \%$

$IV.$ A discount of $20 \%$

The selling price will be minimum under the scheme

A plate was sold for $Rs.\,6,300$ after giving two successive discounts of $12^{1 / 2} \%$ and $10 \% .$ Find the marked price. (in $Rs.$)