Question

Anil sells a pen to atul gaining 10% and Atul sells it to Vimal at a gain of 20%. If Vimal buys it for 19.80.Find its CP.

Answer 1

Answer:

CP = Rs.15

Step-by-step explanation:

Let the original CP (for Anil) be "x"

Anil makes 10% profit, hence Anil sells the pen to Atul for 1.1x

Atul makes 20% profit, hence Atul sells the pen to Vimal for 1.2*1.1x

Final selling price = 1.2*1.1x

                              = 1.32*x

We are given that this final price is Rs.19.80

=> 1.32*x = 19.80

=> x = (19.80/1.32)

=> x = 15

The original CP of the pen is Rs.15

Concept used:

If I make a profit of a% on selling an article bought at "CP", then:

SP = CP + (a% of CP)

      = CP + (a/100*CP)

       = CP + (0.01*a*CP)

       = (1 + 0.01*a)*CP

e.g. If my cost price is CP and my profit is 20%

SP = (1+0.01*20)*CP

     = (1 + 0.2)*CP

     = 1.2*CP