Question

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

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.