A man buys $100\, kg$ of sugar for $Rs.\, 2400 .$ He sold $1 / 4$ th of the stock at a loss of $5 \% .$ At what per cent profit should he sell the remaining stock so as to make an overall profit of $20 \%$ on the whole transaction? (in $\%$)

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

If a men 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 product when sold with $10 \%$ rebate on the listed price gave a profit of $Rs$ $70 .$ What was its cost price? (in $Rs$)

Kamal has some apples. He sold $40 \%$ more than he If he sold $70$ apples, how many dis he eat?

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