Question

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 a month she earns neither profit nor loss. If she sold 70 pens, how many pencils did she sell?

Answer 1

total pen sold = 70
Profit earned = RS 1 × 70 = RS 70

If there is no profit or loss in a month then it shows that the profit = loss
Profit and loss cancell each other and therefore there is niether profit nor loss .

Loss in that month = profit = RS 70

Let the no. of pencil be x and loss = RS 70

Loss for one pencil = 40 paise = RS 0.40

No. of pencil shopkeeper sell =
Total loss / Loss on 1 pencil
= 70/ 0.40
= 175

Therefore shopkeeper sold 175 pencil and 70 pens

Answer 2

(i) Overall Profit Or Loss = -5

45 Pens means Profit Of Rs 45

Now No Of Pencils Sold

Price Of Pencils => 45-(-5) = Rs50

So She Sold Pencils At a loss of rs 50

No OF pencils = 50/0.40 = 125

So She Sold 125 pencils.

(ii) Profit Or Loss Incurred = 0

Now 70 pens means profit of Rs 70

Now Cost Price Of Pencils = 70-0 = 70

No of pencils = 70/0.40 = 175

So She Sold 175 pencils.
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