Question

VUI
A man sells 12 articles for * 80 gaining
$33 \ \frac{ 1}{3} \%$

Find the number of articles bought by the man for 90.​

Answer 1

Step-by-step explanation:

$selling \: price \: of \: 12 \: articles = 80Rs$

$profit = 33\frac{1}{3}$%

profit%$=\frac{profit}{Cost \: Price} × 100$

$\frac{100}{3} =\frac{S.P. - C.P}{C.P} × 100$

$\frac{1}{3} =\frac{80 - C.P.}{C.P.}$

$\frac{1}{3} =\frac{80}{C.P.} - 1$

$\frac{80}{C.P.} =\frac{4}{3}$

$\frac{20}{C.P.} =\frac{1}{3}$

$Cost \: price = 20 × 3 = 60Rs.$

$Cost \: Price \: of \: 12 \: articles = 60Rs.$

$Cost \: price \: of \: one \: article = 5Rs.$

$5 rupees = 1 \: article$

$then ,90 \: rupees =\frac{90}{5}=18 \: articles$