A shopkeeper sold an item at a loss of 121/2% on SP. If the sum of CP and SP of the article is Rs.1768, find the SP of the article.
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Let the C.P. of the article be Rs. x
According to the question, we have
S.P. at 6% profit − S.P. at 12
2
1
% loss = Rs. 51.80
⇒
100
x×(100+6)
−
100
x×(100−12.5)
=51.80
⇒
100
106x
−
100
87.5x
=51.80
⇒
100
18.5x
=51.80⇒x=
18.5
51.80×100
=280
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