Madhya Pradesh Police Exam Model Paper 6

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 $=3000\mathit{–}500=2500$
M.P of each pen = 6 and discount = 10%
S.P of each pen $=6\mathit{–}10\%\mathit{o}\mathit{f}6$
$\Rightarrow 6\mathit{–}0.6$
$\Rightarrow 5.4$
Total S.P of 2500 pens $=5.4\times 2500$
$\Rightarrow 13500$
Profit earned by company $=13500\mathit{–}10500=3000$
Percent profit = (Profit/Cost price) × 100
$\Rightarrow \left(3000/10500\right)\times 100$
$\Rightarrow 200/7$
$\Rightarrow 28\frac{4}{7}\%$
∴ Company have gained a profit of $28\frac{4}{7}\%.$