Question

if a selling price of 10 article is the dame as the cost price of 11 article find gain percent

Answer 1

let c. p of an article =Rs100


so

c.p of 11 articles = Rs 11×100=Rs1100

now s.p of 10 article is = c.p of 11 articles

=>

s.p of 10 articles=Rs1100
s.p of 1 article=Rs1100/10=Rs110

s.p of 11 articles = 1100+110=Rs1210
gain = s.p - c.p
= 1210-1100
=Rs110

gain%=(gain÷c.p)×100
= 100%

Answer 2

$\underline{\bold{Solution:-}}$

Let the C.P. of an article be x.

C.P. of 11 articles = 11x

It is given that the C.P. of 11 articles is equal to the S.P. of 10 articles.

S.P. of 10 articles = C.P. of 11 articles = 11x

S.P. of 10 articles = 11x

$S.P. \: of \: 1 \: article = \frac{11x}{10} \\ \\ S.P. \: of \: 1\: article = 1.1x$

Gain = S.P. of an article - C.P. of an article

Gain = 1.1x - x

Gain = (1.1 - 1) x

Gain = 0.1x

$Gain \: \% = \frac{Gain}{ C.P. } \times 100 \\ \\ Gain \: \% = \frac{0.1x}{ x } \times 100 \\ \\ Gain \: \% = 0.1 \times 100 \\ \\ Gain \: \% = 10\%$


So, the gain percent is 10% .