Gaurav sold an article at a profit of 12% had it been sold for rupees 16 more the profit would have been 20% find the CP of the article
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Answer:
Original Profit=12%
Cost Price=C.P.
Let the Selling price be S.P.
C.P.
S.P.−C.P.
×100=12 (1)
S.P.−C.P.=
100
12C.P.
(2)
New Selling Price is S.P.+16
C.P.
S.P.+16−C.P.
×100=20
C.P.
S.P.−C.P.+16
×100=20 (3)
Substituting (2) in (3)
C.P.
100
12C.P.
+16
×100=20
C.P.
12C.P.+1600
=20
12+
C.P.
1600
=20
C.P.
1600
=20−12=8
8
1600
=200=C.P.
The C.P. of the article=200Rs
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