The ratio of the cost price and the selling price is $4: 5$. The profit percent is

$A$ and $B$ started a business by investing $Rs. 3,50,000$ and $Rs. 1,40,000$ respectively. $A$ gets $20\%$ of the yearly profit for managing the business. Thereafter,the profit is divided in the ratio of the capital. If $A$ receives totally $Rs. 38,000$ more than $B$ at the end of a year,then the total profit is (in $Rs.$)

Rahim bought a gift item for $Rs. 510$ after getting a discount of $15 \%$. He then sells it $5 \%$ above the marked price. The profit earned in this deal is (in $Rs.$)

$A$ shopkeeper sells notebooks at the rate of $Rs.\, 45$ each and earns a commission of $4 \%$. He also sells pencil boxes at the rate of $Rs.\, 80$ each and earns a commission of $20 \%$. How much total commission will he earn in two weeks if he sells $10$ notebooks and $6$ pencil boxes a day? (in $Rs.$)

$A$ man gains $15 \%$ by selling a calculator for a certain price. If he sells it at triple the price,then what will be the profit percentage (in $\%$)?

In these questions,two equations numbered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I$. $6x^2 + 19x + 15 = 0$
$II$. $3y^2 + 11y + 10 = 0$