A shopkeeper fixes the marked price of a commodity 30 percent above its cost price. What percent of discount should he allow on the marked price so that he still gains 25 percent on selling it?
A. 5
B. 15/2
C. 50/3
D. 50/13
E. 25/13
shopkeeper fixes
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- sanju09
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let CP be 100, so MP=130. SP=125 (25% profit)
discount always calculated on MP
so discount %: 125-130/130*100=50/130
hence D
discount always calculated on MP
so discount %: 125-130/130*100=50/130
hence D
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Sanjusanju09 wrote:A shopkeeper fixes the marked price of a commodity 30 percent above its cost price. What percent of discount should he allow on the marked price so that he still gains 25 percent on selling it?
A. 5
B. 15/2
C. 50/3
D. 50/13
E. 25/13
I think D should be 50/130.
coz (125-130)/130 *100 = 50/130.
can u pls check ?
thanks
- gmat740
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CP = x
MP = 1.3x
Let the Discount Be D %
Since profit has to be 25%
So Selling price SP = 1.25x
Discount offered = d% of 1.3x
Also SP after discount is (1.3x- 1.3x*d/100)
1.25x = (1.3x- 1.3x*d/100)
0.05x =( 1.3x)* d/100
d= 50/13
So answer is D
Always solve Questions by fundamental methods,break down the problem into its basic form because during the time of exam, you may forget the formulas.
Karan
MP = 1.3x
Let the Discount Be D %
Since profit has to be 25%
So Selling price SP = 1.25x
Discount offered = d% of 1.3x
Also SP after discount is (1.3x- 1.3x*d/100)
1.25x = (1.3x- 1.3x*d/100)
0.05x =( 1.3x)* d/100
d= 50/13
So answer is D
Always solve Questions by fundamental methods,break down the problem into its basic form because during the time of exam, you may forget the formulas.
Karan