In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I.$ $2x^2 + 19x + 45 = 0$
$II.$ $2y^2 + 11y + 12 = 0$

$A$ trader purchases a wrist watch and a pendulum for $Rs. 390$. He sells them making a profit of $10 \%$ on the watch and $15 \%$ on the pendulum. He earns a total profit of $Rs. 51.50$. The difference between the original prices of the pendulum and the watch is equal to? (in $Rs.$)

Sita sells a calculator to Gita at a gain of $17 \%$ and Gita sells it to Anu at a loss of $25 \%$. If Anu pays $Rs. 1842.75$ for it,then what did Sita pay for it? (in $Rs.$)

If the selling price of $40$ articles is equal to the cost price of $50$ articles,the loss or gain percent is

$A$ sells an article to $B$ for $₹ 45,000$ losing $10 \%$ in the transaction. $B$ sells it to $C$ at a price which would have given a profit of $10 \%$ to $A$. By what per cent does $B$ gain?

When a plot was sold for $Rs. 18700$,the owner lost $15 \%$. At what price must the plot be sold in order to gain $15 \%$?