Q. 13.6( 16 Votes )
A shopkeeper earn
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)
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
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.
Rate this question :