Problema Solution

01 pencil prise is 01 rupee, 20 slate pencil prise is 01 rupee, 01 pen prise is 05 rupees then how can we get 100 items (including three items) for 100 rupees

Answer provided by our tutors

Let the number of pencils = x

and the number of slate pencils = y

and the number of pens = z

so x+y+z = 100

and   x+(1/20)y+5z = 100

 

from these two equations we get        (19/20)y = 4z

=> y = (80/19)z

so for y to be a whole number z must be a multiple of 19.

so if z = 19  then y = 80   and then x =1

so the answer is

number of pencils = 1

and the number of slate pencils = 80

and the number of pens = 19