# Math

A shopkeeper marked the price of an article a certain percent above cp and he allowed 16% discount to make 5% profit. If a customer paid rs.9492 with 13% vat to buy article by what percent is MP above CP of article?

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1. MP*.84 = CP*1.05
MP/CP = 1.05/0.84 = 1.25

so, the original markup was 25%

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3. To take solution

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4. A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit .if a customer paid rs 9492 with 13 vat to buy the article ,by what percent is the marked price above the cost price of the article ?

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5. Not good

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7. Good

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8. Let a certain percent be x%
Then,
S.P,=S.P+VAT%of s.p
=S.p+13÷100×s.p.
9492=(100s.p+13s.p)÷100
949200=113s.p
S.p.=Rs.8400
Again,
P%=(p÷c.p)×100%
5={(s.p.-c.p)÷c.p}×100 where (p=s.p-c.p)

5c.p.=840000-100c.p
105c.p.=840000
°:*c.p.=Rs.8000
Similarly,from Question
M.P=c.p.+x%ofc.p.
=8000+(x÷100)×8000
=8000+80x

Similarly,
S.P.=M.P.-d%of m.p.
8400=(8000+80x)-{16÷100(8000+80x)}

840000-67200=6720x
(168000÷6720)=x

#*x=25%

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