Given:
Cost price of 3000 pens = 10500
Total defected pens = 500
Discount offered on remaining pens = 10%
M.P. of each pen = 6
Formula used:
Selling price = Marked Price – Discount
% Profit = (Profit/Cost price) × 100
% Discount = (Discount/M.P.) × 100
Concept used: Profit/loss is always calculated on Cost Price
Discount is always calculated on M.P.
Calculation:
Cost price of 3000 pens
=10500 C.P of each pen
=300010500​=3.5 Total pens sold by the company
=3000−500=2500 M.P of each pen = 6 and discount = 10%
S.P of each pen
=6−10% of 6 ⇒6−0.6 ⇒5.4 Total S.P of 2500 pens
=5.4×2500 ⇒13500 Profit earned by company
=13500−10500=3000 Percent profit = (Profit/Cost price) × 100
⇒(105003000​)×100 ⇒7200​ ⇒2874​% ∴ Company have gained a profit of
2874​%.