Question

A shopkeeper earns a profit of Re 2 by selling one pen and incurs a loss of 80 paise per pencil
while selling pencils of her old stock.
(i) In a particular month she incurs a loss of Rs 6. In this period, she sold 45 pens. How
many pencils did she sell in this period?
(ii) In the next month she earns neither profit nor loss. If she sold 80 pens, how many
pencils did she sell?

Answer 1

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.