shopkeeper fixes

[sanju09]

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

[scoobydooby]

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

[vittalgmat]

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

Sanju
I think D should be 50/130.

coz (125-130)/130 *100 = 50/130.

can u pls check ?

thanks

[gmat740]

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