Final answer:
To find the profit percentage, divide the profit earned on selling 22 pencils by the cost price and multiply by 100. The correct option is 100%.
Step-by-step explanation:
To find the profit percentage, we need to calculate the profit earned on selling 22 pencils and then express it as a percentage of the cost price.
Given: Profit earned = selling price of 11 pencils
Let the cost price of one pencil be x.
Profit earned on selling 22 pencils = selling price of 11 pencils = 11x
Profit percentage = (Profit/Cost price) x 100
Profit percentage = (11x/x) x 100 = 11 x 100 = 1100%
Therefore, the correct option is (a) 100%.