The marked price of an article is $Rs.\, 5000.$ But due to a special festive offer a certain per cent of discount is declared. Mr. $X$ availed this opportunity and bought the article at reduced price. He then sold it at $Rs.\, 5000$ and thereby made a profit of $11 \frac{1}{9} \%$. The percentage of discount allowed was
$10$
$3 \frac{1}{3}$
$7 \frac{1}{2}$
$11 \frac{1}{9}$
A merchant buys $4000\, kg$ of wheat, one$-$fifth of which he sells at a gain of $5$ per cent, one$-$fourth at a gain of $10 \%$, one-half at a gain of $12$ percent, and the remainder at a gain of $16$ percent. If he had sold the whole at a gain of $11$ percent, he would have made $Rs.\, 72.80$ more. What was the cost price of the crop per kg? (in $Rs.$)
In these questions, two equations mabered $I$ and $II$ are given. You have to solve both the equations and mark the appropriate option.
$I$. $x^{2}=16$
$II$.$2 y^{2}-17 y+36=0$
A cloth merchant says that due to slump in the market, he sells cloth at $10 \%$ loss, but he uses a inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale. (in $cm$)
A shopkeeper sold an article offering discount of $24 \%$ and earn a profit of $23.5 \% .$ What would have been the percentage of profit earned if no discount has been offered?
A manufacturer fixes his selling price at $33 \%$ over the cost of production. If cost of production goes up by $12 \%$ and manufacturer raises his selling price by $10 \%,$ his percentage profit is