$A$ man loses $20 \frac{1}{2} \%$ of his money and after spending $80 \%$ of the remainder,he is left with $Rs. 159$. How much did he have at first? (in $Rs.$)

$A$ cloth merchant sold half of his cloth at $20 \%$ profit,half of the remaining at $20 \%$ loss,and the rest was sold at the cost price. In the total transaction,his gain or loss will be

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

Profit earned by an organization is distributed among officers and clerks in the ratio of $5:3$. If the number of officers is $45$ and the number of clerks is $80$ and the amount received by each officer is $Rs. 25,000$,what was the total amount of profit earned? (in $Rs.$ lakhs)

$60 \%$ of the cost price of an article is equal to $50 \%$ of its selling price. Then the percentage of profit or loss on the cost price is

$A$ shopkeeper sold decks at $Rs. 166$ each after giving $17\%$ discount on the labelled price. Had he not given the discount,he would have earned a profit of $25\%$ on the cost price. What was the cost price of each deck? (in $Rs.$)