Harkesh bought a certain quantity of tomato at the rate of $Rs. 1500$ per quintal. $10 \%$ of the tomato was spoiled. At what price in $Rs.$ per quintal should he sell the remaining to gain $20 \%$ of his outlay?

$A$ trader buys two articles for $Rs. 4000$ each. While selling,if he gains $12.5\%$ on one and loses $20\%$ on the other,what will be the overall loss percent (in $\%$)?

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

$A$ person bought an article for $Rs. 240$. For how much should he sell it so as to lose $20\%$?

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

Half of $100$ items were sold at a profit of $20 \%$ and the remaining were sold at a profit of $40 \%$. If all the items were sold at a profit of $25 \%$,the total profit would have been $Rs. 100$ less than the previous profit. What was the cost price (in $Rs.$) of each item?