Question

A shopkeeper earns a profit of rs1 by selling one pen and earns a loss of 30 paise on sale of one pencil. In s particular month he incurs a loss of rs5. In that month he sold 40 pens. How many pencils did he sell in that period​

Answer 1

☢Given:

1.Shopkeeper earns a profit of Rs. 1 by selling one pen.

2. He earns a loss of 30 paise on 1 pencil.

In a particular month,

• He incurs a loss of Rs. 5.
• He has sold 40 pens.

☢To find: Number of pencil that he has sold in that particular month.

$\rule{180}{1.8}$

$\sf profit\:earned\:by\:selling\:one\:pen\:=\:Rs.1 \\ \implies in\:45\:days\:=\:Rs.45(which\:we\:will\:denote\:as\:+45)$

$\sf{\bigstar{Total\:loss\:=\:Rs.5 (which\:we\:will\:denote\:as\:-5)}}$

$\boxed{\sf{profit\:earned + \:loss\:incured=\:Total\:loss}}$

∴ $\sf{Loss\:incured\:=\:Total\:loss\:-\:loss\:incured}$

$\longrightarrow\sf\: Rs. (-5-40) \\ \\\longrightarrow\sf \: Rs. -45 \\\\ \longrightarrow\sf \: -4500 paise.$

Loss incured by selling one pencil = 30 paise( which we will write as -30 paise)

$\longrightarrow\sf\:Number\:of\:pencil\:sold \\ \\ \longrightarrow\sf\: \frac{-4500}{-30} = \boxed{150\:pencils}$

Answer 2

Answer:

150 pencils...

Step-by-step explanation:

a shopekeeper earns profit on selling 40 pens = rs 40

a shopekeeper earns loss on selling to pens =

30 p

total loss = rs 5 in that month

total loss on scale of pencil must be

= rs 40 + rs 5

= rs 45 = 4500 p

we will convert this into Paise

1 rs = 100 p

45 rs = 45 × 100

= 4500

loss of 30 paise on scale of one pencil

loss of 1 paise on scale of 1 / 30 pencils

loss of 4500 paise on scale of 1/3 × 4500

= 150 pencils