Question

price of an article is 64% of the marked price. What is the gain percent if a discount
of 12% is allowed?
(A) 37.5%

(B) 48%
(C)
50.5%
(D) None of these​

Answer 1

Answer:

Answer: 37.5%

Answer: 37.5%Step by step explanation

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100then Cost Price (CP) = 64 and after allowing 12 percent discount on MP, the Selling Price (SP) = 88

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100then Cost Price (CP) = 64 and after allowing 12 percent discount on MP, the Selling Price (SP) = 88Therefore ,

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100then Cost Price (CP) = 64 and after allowing 12 percent discount on MP, the Selling Price (SP) = 88Therefore ,Gain Percent = (SP-CP)/CP * 100

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100then Cost Price (CP) = 64 and after allowing 12 percent discount on MP, the Selling Price (SP) = 88Therefore ,Gain Percent = (SP-CP)/CP * 100= (88-64)/64 * 100

Answer: 37.5%Step by step explanationSuppose the Marked Price (MP) = 100then Cost Price (CP) = 64 and after allowing 12 percent discount on MP, the Selling Price (SP) = 88Therefore ,Gain Percent = (SP-CP)/CP * 100= (88-64)/64 * 100= 37.5 %

Answer 2

Solution

let the marked price is =X Rs

now..

therefore..cost price=(64x/100)Rs

now...a discount of 12%is allowed on the marked price...

so the selling price is...

$= x - (x \times \frac{12}{100} ) \\ = \frac{88x}{100}$

therefore....gain percentage is..

$= \frac{ \frac{88x}{100} - \frac{64x}{100} }{ \frac{64x}{100} } \times 100 \\ = \frac{ \frac{24x}{100} }{ \frac{64x}{100} } \times 100 \\ = \frac{2400}{64} \\ = 37.5$

therefore answer is =37.5%

option (A)=37.5%

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