By selling an article for $Rs. 102$,there is a loss of $15 \%$. When the article is sold for $Rs. 134.40$,the net result in the transaction is:

$A$ garment company declared $14 \%$ discount for wholesale buyers. Mr. Swami bought garments from the company for $Rs. 860$ after getting the discount. He fixed the selling price of the garments in such a way that he earned a profit of $6 \%$ on the original company price. What is the approximate total selling price (in $Rs.$)?

Ramesh purchased a bicycle for $Rs. 5200$ and spent $Rs. 800$ on its repairs. He had to sell it for $Rs. 5500$. Find out his profit or loss percent.

The cost price of $40$ articles is the same as the selling price of $25$ articles. Find the gain percent. (in $\%$)

Amit purchased $13$ chairs for $Rs. 115$ each and sold all of them for $Rs. 1220$. Find the profit or loss on the transaction.

In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I.$ $3x^2 - 13x + 12 = 0$
$II.$ $2y^2 - 15y + 28 = 0$