A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.38.75 less, he would have gained 30%. Find the cost price of the article.
Let C.P be ′x′
Profit=25%
S.P=C.P(1+profit%100)
S.P=x(1+25100)
=x(1+14)
=5x4
If C.P were 20%less,
New C.P=x(1−20100)
New S.P=5x4−38.75
∴Profit=S.P−C.P=5x4−38.75−4x5
=9x20−38.75
ATP, now profit %=30%
=>9x20−38.754x5×100=30
As,Profit%=profitC.P×100
9x20−38.75=30100×4x5
9x20−38.75=6x25
9x20−6x25=38.75
45x−24x100=38.75
21x=3875
x=387521
=184.52≈185
∴C.P=Rs.185