Question

7. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of
the article which costs 450.
​

Answer 1

$\large\mathbf{QUESTION}$

. A shopkeeper allows a discount of 10% to his customers and still gains 20%. Find the marked price of

the article which costs 450.

$\huge\underline\bold\pink{Answer}$

${Let\: M.P.\: be\: 100}$

Discount=10% of M.P

${100/10 \:of \:M.P.\: = \: 10/100\: × \:100}$

${=\:10}$

${S.P. \:= \:M.P. \:− \:Discount}$

${=\:100\:−\:10\:= \:90}$

Gain =20% of C.P.

${20/100\:×\:450\:=90}$

${S.P. \:= \:C.P. \:+ \:Gain}$

${If \:S.P. \:is \:90,\: then\: M.P. \:is\: 100.\:}$

${When\: S.P. \:is \:540,}$

${540×100/90\:=600}$

${Therefore,\:M.P\:=\:600}$

$\huge\mathfrak{\: \: \: \: \: \: hope \:that \:helps!!!}$

$\huge{\:\:\:\:\:\:\:✰CᴏᴢʏVɪʙᴇ✰}$