$A$ fan in a shop is offered at a discount of $10 \%$. It is sold during a clearance sale at an additional $6 \%$ discount over the already discounted price for $Rs. 846$. The original marked price of the fan is (in $Rs.$)

$A$ cloth merchant says that due to a slump in the market,he sells cloth at a $10 \%$ loss,but he uses an inaccurate metre scale and actually gains $15 \%$. Find out the actual length of the scale (in $cm$).

By selling an article for $Rs. 21$,a man incurs a loss such that the percentage loss is equal to the cost price. The cost price of the article is (in $Rs.$):

Aditya bought $200$ dozen oranges at $Rs. 10$ per dozen and he spent $Rs. 500$ on transportation. He sold each orange at $Rs. 1$ each. What was his profit or loss $\%$?

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)

$A$ shopkeeper mixes $26 \, kg$ of wheat which costs $Rs. 20$ per $kg$ with $30 \, kg$ of wheat which costs $Rs. 36$ per $kg$ and sells the mixture at $Rs. 30$ per $kg$. Find the profit percent. (in $\%$)