An article sold at a certain amount results in a loss of 7% whereas when is is sold at Rs 100 more than earlier amount it results in a 13% profit find the cost price of the article
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Answer:
(i) Suppose the cost price of the article is Rs.100 at loss of 25% the S.P of the article is Rs.(100−25)=Rs.75.
At profit of 5% the S.P of the article is Rs.(100+5)=Rs.105
∴ The difference of the two S.Ps is Rs.105−75=Rs.30
If the C.P is Rs.100,
The difference in the two S.Ps is Rs.60 then the C.P is
30
100
×60=Rs.200
(ii) Suppose the cost price of article is x
At 25% loss,
S.P =x−
100
25x
=
100
75x
=Rs.
4
3
x
At 5% profit,
S.P=x+
100
5x
=
100
105
x=Rs.
20
21
x
Accordingly,
20
21
x−
4
3
x=60
⇒
20
21x−15x
=60
⇒
20
6x
=60
⇒x=
6
60×20
=200
∴ The cost price of article is Rs.200.
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