5.
After allowing a discount of 10% on the marked price of an article, a shopkeeper still
gains 26%. Find by what percent the marked price is more than the cost price.
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Answer:
Step-by-step explanation:%DISCOUNT =10%
%PROFIT=26%
CONSIDER MARKED PRICE BE X
THEN, 10% OF X=S.P
THEREFORE, S.P=X/10
SINCE, %P={(S.P-C.P)/C.P}*100%
SO, 26={(X/10-C.P)/C.P}*100
THEREFORE, ON CALCULATING WE GET,
X=(126 C.P)/10=12.6 C.P
NOW INCREASED % OF MP. ON C.P= {(MP-CP)/MP}*100
=({X-CP)/X}*100
SUBSTITUTING THE VALUE OF X IN ABOVE EQUAITON , WE GET,
%={(12.6 CP-CP)/12.6 CP}*100
ON SOLVING ABOVE EQUATION WE GET
INCREASED PERCENT=92.06%
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