A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is in $\%$?
$2$
$4.5$
$13.5$
$15$
A merchant advertises $10 \%$ off on the items bought from his store. The total discount got by a customer who bought a cooker worth $Rs.\,650,$ a heater worth $Rs.\,500$ and a bag worth $Rs.\,65$ is (in $Rs.$)
A shopkeeper marks his goods at $40 \%$ above their cost price. He is able to sell $\frac{3}{4}$ th of his goods at this price, and the remaining at $40 \%$ discount. Assuming that the shopkeeper is able to sell the goods he buys, find his loss or gain as $\%$ of the whole transaction.
A dealer marks his goods $30 \%$ above his cost price and then allows $15 \%$ discount on it. What is the cost price of an article on which he gains $Rs.\,84?$
In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I.$ $3 x^{2}-13 x+12=0$
$II.$ $2 y^{2}-15 y+28=0$
Gita buys a plot of land for $Rs.\,96,000.$ She sells $\frac{2}{5}$ of it at a loss of $6 \% .$ She wants to make a profit of $10 \%$ on the whole transaction by selling the remaining land. The gain percentage on the remaining land is