An individual purchases three qualities of pencils

An individual purchases three qualities of pencils. The relevant data is given below:

It is known that the average price per pencil is ₹1.25. What is the value of x?

  1. ₹10
  2. ₹30
  3. ₹40
  4. ₹60

Answer

Average price = Total money spent / Total number of pencils

Number of pencils of quality A = 50/1 = 50

Number of pencils of quality B = x/1.5 = 2x/3

Number of pencils of quality C = 20/2 = 10

Total Number of pencils = 50 + 2x/3 + 10 = 60 + 2x/3

Total money spent = 50 + x + 20 = 70 + x

5/4 = (70 + x)/(60 + 2x/3)

5(60 + 2x/3) = 4(70 + x)

5(180 + 2x) = 12(70 + x)

900 + 10x = 840 + 12x

2x = 60

x = 30

The correct option is B.