Question

Q. A shopkeeper earns
a profit of Rs.1 by selling
one pen and incurs a
loss of 40 paise per
pencil while selling
pencils of her old stock.
​

Answer 1

A shopkeeper earns a profit of Re 1 by selling one pen and incurs a loss of 40 paise per pencil while selling pencils of her old stock. In a particular month she incurs a loss of Rs. 5 In this period, she sold 45 pens. How many pencils did she sell in this period?  

ANSWER

Profit earned by selling 1 pen = Re 1

Profit earned by 45 pens = Rs. 45, which we denote by + Rs. 45

Total loss given = Rs. 5, which we denote by Rs -5.

Profit earned + Loss incurred = Total Loss

Therefore, loss incured = Total Loss - Profit earned.

= Rs. (-5-45)

=Rs. (-50)= -5000 paise

Loss incurred by selling one pencil = 40 paise, which we write as -40 paise.

So, number of pencils sold = (−5000)÷(−40)=125 pencils.