Question

a pen is sold for rs 11 and makes the same percentage of profit for wch if was purchased. find its purchase price

Answer 1

The purchase price of the pen = Rs. 10.

Selling price of the pen is equal to Rs. 11

Let the purchase price of the pen be x , then the profit percentage of the pen is equal to x%.

Profit = selling price - purchase price

= 11 - x

Profit% = (Profit/purchase price) × 100

=> x = (11-x/x) × 100

=> x² = 1100 -100x

=> x² +100x -1100 = 0

=> x² +110x -10x -1100 = 0

=> x(x+110)-10(x+110) = p

=> x = 10 , -110(not possible as x cannot be negative)

The purchase price of the pen is equal to Rs. 10.