By selling cloth at $Rs. 9$ per meter,a shopkeeper loses $10 \%$. Find the rate at which it should be sold so as to earn a profit of $15 \%$ (in $Rs.$).

$A$ shopkeeper purchased $245$ pieces of an article at $Rs. 30$ per piece. He spent $Rs. 980$ on transport and $Rs. 1470$ on packing the articles. He sold the articles at the rate of $Rs. 50$ per piece. What is the percent profit earned?

Abhishek purchased $140$ shirts and $250$ trousers at $Rs. 450$ and $Rs. 550$ respectively. What should be the overall average selling price of shirts and trousers so that $40 \%$ profit is earned? (in $Rs.$) (rounded off to the next integer)

Maninder bought two horses at $Rs. 40,000$ each. He sold one horse at $15\%$ gain, but had to sell the second horse at a loss. If he had suffered a loss of $Rs. 3,600$ on the whole transaction, then the selling price of the second horse is (in $Rs.$)

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

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