After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. By what pe cent is the marked price above cost price?
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After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. The marked price is above the cost price by
25%
30%
37.5%
42.5%
Correct Option: C
Given that , discount = 12% and gains = 21%
C.P. of article = ₹ 100
Marked price be y .
∴
y × 88
= 121
100
⇒ y =
121 × 100
= ₹ 137.5
88
∴ 137.5 - 100 = ₹ 37.5 i.e. 37.5% above C.P.
Second method to solve this question :
Here, r = 12% , R = 21%
With the help of given formula ,
Required percentage =
r + R
× 100 %
100 − r
Required percentage =
12 + 21
× 100%
100 − 12
Required percentage =
33
× 100%
88
=
3
× 100
8
Required percentage =
300
% = 37.5%
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