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.
(i) In a particular month she incurs a loss of Rs. 5. In this period, she sold 45 pens. How many pencils did she sell 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?

Given :

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

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

$0.4x = 45-5$

$0.4x = 40$

$x = \frac{40}{0.4} = \frac{10}{0.1}$

$x = 10\times 10$

$x = 100$

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

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

$0.4x = 70$

$0.4x = 70$

$x = \frac{70}{0.4} = \frac{70\times 10}{0.4\times 10}$

$x = \frac{700}{4}$

$x = 175$

Number of pencils sold $= 175$.

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Updated on: 10-Oct-2022

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