Question

An article is sold at 25% profit. If the CP and the SP of the article
are increased by Rs 60 and Rs 30 respectively, the profit% decreases
by 15%. Find the cost price of the article.

Answer 1

Step-by-step explanation:

Let CP be Rs. x

Then,

SP= CP(100+Profit %)/100 = x(125)/100

SP= 125x/100= 5x/4

Now,

New CP=x+60

New SP= 5x+4+30

New profit %= (25-15)%=10%

Then,

Profit=Sp-CP=[(5x/4)+30]-[x+60]

                     = (x/4)-30

Profit%= [(x/4-30)/(x+60)] x 100=10

          = 10x/4-300=x+60

          = (5x-2x)/2=360

          = 3x/2=360

         = x= (120 x 2)/3 = Rs.240

Therefore, the CP of the article is Rs. 240