Question

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4.) A shop neeper is allowing a discount of I
20%. on his goods , how much percent
above the cost price should be he mam
his goods so that after allowing a discounts
on the marked price, he gain 25%. ?​

Answer 1

Answer:

Heya,

Here's ur answer:-

Let the CP be x

P% = 25 % ( so r = 25)

sp = $cp(1 + \frac{r}{100} )$

=> SP = x ( 1 + 25/100)

=> SP = x × 5/4

=> SP = 5x/4

sp =$mp(1 - \frac{d}{100} )$

So,

mp = $\frac{sp}{1 - \frac{d}{100} }$

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 %