Question

a man sold an article at loss of 20 % .if he had sold it for rs 12 more ., then he would have gained 10% .the cost price of the article is

✨Proper answer please✨
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Answer 1

Answer:

answer is 40

Step-by-step explanation:

assume assume the cost of article is X the person sold at 20% loss

loss % = C.P - S.P/C.P = X - S.P/X = 20/100

therefore, S.P = 0.8

if if he had sold it for rupees 12 more then he would have gained 10%

gain % = S.P - C.P/C.P = (0.8x + 12) - x / x

therefore, 12 - 0.2x = 0.1x

12 = 0.3x

X = 40

Answer 2

Step-by-step explanation:

HEY MATE .......

$assume \: the \: cost \: of \: article \: is \: (x) \\ \\ the \: person \: sold \: at \: 20\%loss \\ \\ loss \% = \frac{cp - sp}{cp} = \frac{x - sp}{x} = \frac{20}{100} \\ \\ sp = 0.8x \\ \\ if \: he \: had \: sold \: it \: for \: rs.12 \: more \: then \: he \: would \: have \: gained \: 10\% \\ \\ gain\% = \frac{sp - cp}{cp} = \frac{(0.8x + 12 )- x}{x} = \frac{10}{100} \\ \\ 12 - 0.2x = 0.1x \\ \\ 12 = 0.3x \\ \\ x = 40$

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