a shopkeeper is allowing a discount of 20% on his goods , how much percent above the cost price should he mark his goods so that after allowing a discount on the marked price , he gain 25%?
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Step-by-step explanation:
Heya,
Here's ur answer:-
Let the CP be x
P% = 25 % ( so r = 25)
sp = cp(1 + \frac{r}{100} )sp=cp(1+
100
r
)
=> SP = x ( 1 + 25/100)
=> SP = x × 5/4
=> SP = 5x/4
sp = mp(1 - \frac{d}{100} )sp=mp(1−
100
d
)
So,
mp = \frac{sp}{1 - \frac{d}{100} }mp=
1−
100
d
sp
which is :-
mp = SP/(4/5) = (5x/4)/4/5 = 25x/16
Let that MP is y % above CP
=> MP = CP + y% of CP
=>MP = CP ( 1+ y/100)
=> MP/CP = 1+ y/100
=> (25x/16)/x = 1 + y/100
=> 25/16 = 1+ y/100
=> 1+ y/100 = 25/16
=>y/100 = 25/16 -1 = (25-16)/16 = 9/16
=> y = 9/16 × 100 = 225/16 % =14 whole 1/16 %
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