At what percentage above the cost price must an article

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At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5% ?

1. 40%
2. 45%
3. 35%
4. 47%

Correct Option: A

Let the C.P. of article be Rs.
100 and the marked price be Rs. x.
According to the question,

95% of x =	100 × 133
	100

⇒	x × 95	= 133
	100

⇒ x =	133 × 100	= Rs. 140 i.e.,40% above than C.P.
	95