The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 4%.

Correct option is B

Given:

Cost Price (C.P.) = 64% of Marked Price (M.P.)

Discount = 4%

Formula used:

S.P.= M.P. − Discount

Gain = S.P.− C.P.

Gain Percent = $$\frac{Gain}{C.P}\times 100$$  

Solution:

​Let the Marked Price (M.P.) = x 

Cost Price (C.P.) = 0.64 x

​Selling Price (S.P.) after 4% discount:

S.P = 0.96x 

Gain = S.P. − C.P. = 0.96x − 0.64 x = 0.32x

​$$Gain \ Percent = \frac{Gain}{C.P.}\times 100 = \frac{0.32x}{0.64x}\times 100$$

= 50%

The gain percent is 50%.

Thus, correct option(b)

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