Question

What price should a shopkeeper mark on an article which cost him * 440 so as to
gain 26%, after allowing a discount of 12%?
an article marked * 2507
goods and still
per allows 20% off on the marked​

Answer 1

Given:-

What price should a shopkeeper mark on an article which cost him * 440 so as to

gain 26%, after allowing a discount of 12%?

an article marked * 2507

goods and still

per allows 20% off on the marked

Find:-

per allows 20% off on the marked

Solution:-

Let the advertised price or marked price be Rsx

Then, Selling Price after 20 % discount =

$\sf \:rs0.8x = { \underline{ \boxed{ \pink{ \sf{ \frac{4}{5} \times }}}}}$

$\sf given,profit\% = \frac{S.P−C.P}{C.P.} \times 100 = 12\%$

$- > \sf \: \frac{0.8xC.P.}{C.P.} \times 100 = 12$

=>0.8x−C.P.=0.12C.P.

=>1.12C.P.=0.8x

$\sf \: C.P. = \frac{0.8x}{1.12 } = \frac{80x}{112} = \frac{20x}{28} = \frac{5}{7}x$

Given, Gain=Rs135

=>S.P.−C.P.=Rs135

$\sf \: = > \frac{4}{5}x - \frac{5}{7}x = Rs135$

=>x=Rs1,575

So, advertised price =Rs1,575