Q:- 3. A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser. (i) 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. (ii) Next day, he earn a profit of Rs. 25. On this day he sold 100 erasers. How many pencils did he sell.
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(i) let no. of eraser sold be x
total loss = rs 10
10= loss by eraser - profit by pencil
10= (0.10x) - (35×1)
10= 0.10x -35
45=0.10x
x=450
so 450 erasers were sold that day
(ii) let no. of pencil be y
total profit = rs 25
25= profit by pencil - loss by eraser
25=( 1× y) - (100× 0.10)
25=y-10
35=y
so 35 pencils were sold that day
total loss = rs 10
10= loss by eraser - profit by pencil
10= (0.10x) - (35×1)
10= 0.10x -35
45=0.10x
x=450
so 450 erasers were sold that day
(ii) let no. of pencil be y
total profit = rs 25
25= profit by pencil - loss by eraser
25=( 1× y) - (100× 0.10)
25=y-10
35=y
so 35 pencils were sold that day
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