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
=10500/3000=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%of6 ⇒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
⇒(3000/10500)×100 ⇒200/7 ⇒28% ∴ Company have gained a profit of
28%.