Question

A shopkeeper earns a profit of rupees one by selling one pen and incurs a loss of 40 pause per pencil while selling pencil of her old stock.

#1: in a particular month she incurs a loss of rupees five. In this period she sold 45 pens. How many pencils did she sell in this period?

#2: in the next month she earns neither profit nor loss. If she sold 70 pens how many pencils did she sell?

Answer 1

i) Loss = Rs 5
Profit gained by selling one pen = Re. 1
Profit gained by selling 45 pens = Rs 45
45 + x = - 5
x = - 50
So, a loss of Rs 50 has occurred while selling pencils.
No. of Pencils sold = 50 / 0.40
= 125
She sold 125 pencils in this period.
(ii) Profit Or Loss Incurred = 0
70 pens were sold, so profit gained = Rs 70
Cost Price Of Pencils = 70 - 0 = Rs 70
No. of pencils sold = 70 / 0.40 = 175
Therefore,
She Sold 175 pencils in the next month