a man sells an article at a profit of 25% if he had bought it at 25% less and sold it for 30 6.75 less he would have gained 30% find the cost price of the article
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Let C.P be
′
x
′
Profit=25%
S.P=C.P(1+
100
profit%
)
S.P=x(1+
100
25
)
=x(1+
4
1
)
=
4
5x
If C.P were 20%less,
New C.P=x(1−
100
20
)
=x(1−
5
1
)
=
5
4x
New S.P=
4
5x
−38.75
∴Profit=S.P−C.P=
4
5x
−38.75−
5
4x
=
20
9x
−38.75
ATP, now profit %=30%
=>
5
4x
20
9x
−38.75
×100=30
As,Profit%=
C.P
profit
×100
20
9x
−38.75=
100
30
×
5
4x
20
9x
−38.75=
25
6x
20
9x
−
25
6x
=38.75
100
45x−24x
=38.75
21x=3875
x=
21
3875
=184.52≈185
∴C.P=Rs.185
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