Question

A shopkeeper earns a profit of Rs 1 by selling a a pencil and a loss of 20 Paisa by selling an eraser.
a) in a given day he had a loss of Rs 10 . on this day, he sold 35 pencils. how many erasers were sold on this day. b) next day,he earn a profit of Rs 25. on this day he sold 100 erasers. how many pencils did she sell.​

Answer 1

Given:

Profit on selling a pencil = Rs.1

Loss on selling an eraser = 20 paise

Loss when 35 pencils sold = Rs 10

Profit when 100 erasers sold = Rs. 25

To find:

1. Number of erasers sold
2. Number of pencils sold

Solution:

Let the total numbers of eraser sold be = x

Now,

Total Loss = Loss by eraser - Profit by pencil

Substituting the values -

10= (0.10x) - (35×1) 

10 = 0.10x - 35

10 + 35 = 0.10x

45 = 0.10x

x = 450 

Similarly,

Let the total number of pencils be = y

Total profit = Profit by pencil - Loss by eraser

Substituting the values -

25=( 1× y) - (100× 0.10)

25 = y-10

y = 25 + 10

y = 35

Answer: The erasers sold were 450 and pencils sold were 35