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 $\%$)

The profit earned by selling an article for $Rs.\, 900$ is double the loss incurred when the same article is sold for $Rs.$ $450 .$ At what price should the article be sold to make $25 \%$ profit 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

In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.

$I$. $x^{2}=16$

$II$.$2 y^{2}-17 y+36=0$

A man sold his two horses for $Rs.\, 770$ each, on one he gained $10$ $\%$ $\&$ on the other he lost $10 \% .$ The average gain or loss percentage is

If $5 \%$ more is gained by selling an article for $Rs.\, 350$ than by selling it for $Rs$ $340,$ the cost of the article is......$\%$