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By how much above cost price should an article be marked so as to gain 17% even after allowing a 22% discount?
Question

By how much above cost price should an article be marked so as to gain 17% even after allowing a 22% discount?

A.

45%

B.

35%

C.

50%

D.

28%

Correct option is C


Given: Desired gain = 17% Discount = 22%
Formula Used:
Let the marked price (MP) be M. Selling Price (SP) after discount = MP * (1 - Discount/100) Gain% = (SP - CP)/CP * 100
Solution:
Let the CP = 100
SP = 100×117/100=117
MP = 117×100/78=150
Required percentage =(150-100)/100×100=50%

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