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.

i) 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.

ii) In the next month she earns neither profit nor loss. if she sold 70 pens how many pencils did she sell?

Answer 1

1.ans- loss incurred = 5pen sold = 45pencil = 500 paise diveded by 40paise= 12.5 pencils2. pens sold = 70no profit = nor losspencis sold = 7000paise divideded by 40 = 175 pencils

Answer 2

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.