A shopkeeper labeled the price of his articles in order to earn a profit of $30 \%$ on the cost price. He, then, sold the articles by offering a discount of $10 \%$ on the labelled price. What is the actual rate of profit he earned in the deal? (in $\%$)

Two third of consignment was sold at a profit of $5 \%$ and the remainder at a loss of $2 \%$. If the total profit was $Rs.\, 400$ , the value of the consignment was 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

Seema sells a pen to Sapna at a profit of $25 \% .$ Sapna sells it to Asha at a profit of $10 \%$ and Asha sells it to Kavita at a profit of $5 \%$. If Asha sells it for $Rs.\,231,$ find the cost price at which Seema bought the pen? (in $Rs.$)

Find $SP$ when $C P=R s. \,56 .25$ and $\operatorname{Gain}=20 \% ?$

A shopkeeper fixes the marked price of an item $35 \%$ above its cost price. The percentage of discount allowed to gain $8 \%$ is......$\%$