Question

A shopkeeper allows a discount of 10% to his costumers and still gains 20%. Find the marked price of the article which costs ₹450.
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Answer 1

Answer:

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Step-by-step explanation:

Vanitha used this method:

Let M.P. be 100.

Discount =10% of M.P.

               =10010 of M.P. =10010×100

               = 10

S.P. = M.P. − Discount

       =100−10= 90

Gain =20% of C.P.

        =10020×450= 90

S.P. = C.P. + Gain

       =450+90= 540

If S.P. is 90, then M.P. is 100.

When S.P. is 540,

M.P. =90540×100= 600

∴ The M.P. of an article = 600

OR

Vimal used the formula method:

Discount =10%, Gain =20%,

C.P. = 450, M.P. = ?

M.P. =100−Discount%100+Gain%× C.P.

        =(100−10)(100+20)×450

        =90120×450

        = 600

Answer 2

$\underline{\boxed{\bold\red{Question}}}$

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

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\underline{\boxed{\bold\blue{Answer}}}$

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

$Discount = 10\% \: MP$

$\red\leadsto\frac{10}{100} \: M.P$

$\red\leadsto\frac{10}{100}×100$

$\green=\green1\green0$

$S.P = M.P-Discount$

$\red\leadsto100-10$

$\green S\green.\green P \green= \green9\green0$

$Gain = 20\% \: of \: C.P$

$\red\leadsto\frac{20}{100}×450$

$\green=\green9\green0$

$S.P = C.P + gain$

$\red\leadsto450+90$

$\green= \green5\green4\green0$

$If \: S.P \: is \: 90 \: then\\\green M\green.\green P \green= \green1\green0\green0$

$When \: S.P \: is \: 540,then$

$M.P = \frac{540×100}{90}$

$\green M \green. \green P \green= \green6\green0\green0$

$Therefore, \: M.P \: of \: an \: article = 600$

[Hope this helps you.../]