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

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

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

There is a profit of $20 \%$ on the cost price of an article. The per cent of profit, when calculated on selling price is.......$\%$

By selling an article at $80 \%$ of its marked price, a shopkeeper makes a loss of $10 \% .$ What will be the profit percentage if he sells it at $95 \%$ of its marked price?

A shopkeeper sold one$-$third of his goods at a loss of $15 \% .$ To get a profit of $10 \%$ on the whole transaction, he should sell the remaining articles at a profit of in $\%$

A shopkeeper marks his goods at $40 \%$ above their cost price. He is able to sell $\frac{3}{4}$ th of his goods at this price, and the remaining at $40 \%$ discount. Assuming that the shopkeeper is able to sell the goods he buys, find his loss or gain as $\%$ of the whole transaction.

A shopkeeper professes to sell his goods at cost price but uses a weight of $800\, g$ instead of kilogram weight. Thus, he makes a profit of