Question

a man sells an article at a profit of 25%. if he had bought it at 20% less and sold it for rupees 36.75 Les you would have gained 30%. find the cost price of the article.​

Answer 1

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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