A man bought $500$ metres of electronic wire at $50$ paise per metre. He sold $50 \%$ of it at a profit of $5 \%$ At what percent should he sell the remainder so as to gain $10 \%$ on the whole transaction?

At a village trade fair a man buys a horse and a camel together for $Rs.$ $51,250 .$ He sold the horse at a profit of $25 \%$ and the camel at a loss of $20 \% .$ If he sold both the animals at the same price, then the cost price of the cheaper animal was $Rs.$.........

An article is sold at a certain fixed price. By selling it at $\frac{2}{3}$ of that price, one loses $10 \%$. The gain percent on selling it at the original price is

A shopkeeper sold some article at the rate of $Rs.\, 35$ per article and earned profit of $40 \% .$ At what price each article should have been sold so that profit of $60 \%$ was earned. in$Rs.$

cost price of $100$ books is equal to the selling price of $60$ books. The gain percentage or less percentage is

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

$I.$ $2 x^{2}+19 x+45=0$

$II.$ $2 y^{2}+11 y+12=0$