Question

10. A shopkeeper earns a profit of 1 by selling one pen and incurs a loss of 40 paise per pencil while
0 In a particular month she incurs a loss of 5. In this period, she sold 45 pens. How many
she sold 70 pens, how many pencils did she sell?
pencils did she sell in this period? (ii) In the next month she earns neither profit nor loss. ​

Answer 1

Answer:

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.

Profit per pen Rs. 1

Loss per pencil 40 paise

(i) In a particular month she incurs a loss of Rs. 5.

The number of pens sold = 45.

Let the number of pencils sold be x

Rs. 5 = Rs. 45(1) - Rs. 0.4(x)

=> 0.4x = 45-5

=> 0.4x = 40

=> x = 40/0.4

=> x = 100.

Number of pencils sold = 100.

(ii) In the next month she earns neither profit nor loss,

The number of pens sold = 70

Let the number of pencils sold be x

Rs. 0 = Rs. 70(1) - Rs. 0.4(x)

=> 0.4x = 70 - 0

=> 0.4x = 70

=> x = 70/0.4

=> x = 175.

Number of pencils sold = 175.

Answer 2

Answer:

$\qquad \:\boxed{\begin{aligned}& \qquad \:\bf \: (i) \: \: \: 125\qquad \: \\ \\& \qquad \:\bf \: (ii) \: \: \:175 \end{aligned}} \qquad$

Step-by-step explanation:

Given that,

A shopkeeper earns a profit of 1 rupees by selling one pen and incurs a loss of 40 paise per pencil.

(i) In a particular month she incurs a loss of 5 rupees in this period she sold 45 pens, how many pencils did she sell in this period.

Let we assume that shopkeeper sold x pencils in this period.

So,

Profit earned on selling 45 pens = Rs 45

Loss on selling x pencils = Rs 0.4 x

So, According to statement,

$\sf \: 45 - 0.4x = - 5$

$\sf \: - 0.4x = - 5 - 45$

$\sf \: - 0.4x = - 50$

$\sf \: 0.4x = 50$

$\sf\implies \: x = 125$

So, it means shopkeeper sold 125 pencils 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

Let assume that shopkeeper sold x pencils during this period.

So,

Profit earned on selling 70 pens = Rs 70

Loss on selling x pencils = Rs 0.4 x

So, According to statement,

$\sf \: 70 - 0.4x = 0$

$\sf \: - 0.4x = - 70$

$\sf \: 0.4x = 70$

$\bf\implies \: x = 175$

So, shopkeeper had to sold 175 pencils in this period.