A shopkeeper sold an item at $10 \%$ loss after giving a discount equal to half the marked price. The cost price of the item is......... of marked price
$\frac{1}{9}$
$\frac{4}{9}$
$\frac{5}{9}$
$\frac{7}{9}$
While selling an article for $Rs.\, 18450,$ a person suffered a loss of $50 \%$. At what price he should have sold the article (in $Rs.$) to earn a profit of $50 \% ?$
A shopkeeper sold one$-$third of his goods at a loss of $15 \% .$ To get a profit of $10 \%$ on the whole transaction, he should sell the remaining articles at a profit of in $\%$
A person sells $36$ apple per rupee and suffers a loss of $4 \% .$ Find how many apple per rupees to be sold to have a gain of $8 \%$.
In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I$. $x^{2}=16$
$II$.$2 y^{2}-17 y+36=0$
By what fraction selling price $(S.P.)$ must be multiplied to get the cost price $(C.P.)$ if the loss is $20 \% ?$