Q. 13.6( 16 Votes )

A shopkeeper earn

Answer :

Given that: - If shopkeeper sells 1 pen she earns Re 1 as profit.


And on selling 1 pencil she incurs 40 paise as a loss.


i) Additional data: - For any particular month,


Number of pens sold = 45


Total profit/loss on selling both pens and pencil = Rs. 5


To find: - Number of pencils she sold in this particular month


Let, Profit as + ve sign and loss as - ve sign


Now, as Profit earned by selling one pen = Re 1


Therefore, Profit earned by selling 45 pens = Rs 45,


Or increase in money hence + sign = + Rs 45


Total loss given = Rs 5,


Or the decrease in money hence – sign = – Rs 5


As given, she incurred loss overall in selling both pens and pencil


Therefore, Total loss = Profit earned + Loss incurred


The loss incurred = Total Loss – Profit earned


= Rs (– 5 – 45)


= Rs (–50)


= –(50100)paise


Tip: - Try to convert a unit of the same items in the same unit. Therefore Rs is changed to paise.


USE 1 Re = 100 paise


Total Loss = – 5000 paise


Now as given, Loss incurred by selling one pencil = 40 paise


Or the decrease in money hence – sign = – 40 paise


So, the number of pencils sold = (Total loss in selling pencils)(loss in selling 1 pencil)


= (–5000) ÷ (– 40)


=


= 120 pencils.


(ii) Additional data: - In the next month, there is neither profit nor loss.


Number of pencils sold: - 70


Now,


Since there is neither profit nor loss


Therefore, Profit earned in selling pen + Loss incurred in pencil = 0


Profit earned in selling pen = – Loss incurred in pencil …… (i)


As given, Profit earned by selling 1 pens = Re 1


Loss incurred by selling 1 pencil = 40 paise (from eq. i)


Loss incurred by selling pencils = Rs 70


Or decrease in money hence, – sign = – Rs 70


= – (70 × 100) paise.


Tip: - Try to convert unit of same items in same unit. Therefore Rs is changed to paise.


USE 1 Rs = 100 paise


Total Loss = – 7000 paise


Number of pencils sold = (Total loss in selling pencils)(loss in selling 1 pencil)


= (–7000) ÷ (– 40)


=


= 175 pencils.


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