Question

Darmesh sold a DVD player for 2800rs at a gain of 12%. For how much did he buy it?​

Answer 1

Answer:

SP of d.v.d. player=2800

gain=12%

let Cp=X

so 12%ofX=12X/100

Sp=cp+gain

2800=X+12X/100

2800=112X/100

280000=112X

X=280000/112

X=2500

hence,Darmesh buy the d.v.d. at Rs 2500......

Step-by-step explanation:

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Answer 2

$\LARGE\sf {\underline{\underline\green{Required \:  Answer:-}}}$

Method 1:- (Using Proportion)

$\sf{Gain \%=12\%}$

$\sf{SP=2800rs}$

$\sf{ \rightarrow \: So, \: if \: CP \: is \: 100rs, \: then \: SP \: is \: 112rs.}$

$\sf{ \rightarrow{}When \: SP=2800, \: let \: it's \: CP \: be \: 'x' \: rs.}$

$\boxed{ \large\sf{CP \: and \: SP \: are \: directly \: proportional.}}$

$\sf{{Thus, \: \boxed{ \large\sf{ratio \: of \: CP=ratio \: of \: SP}}}}$

$\sf{x:100 = 2800 :112}$

$\sf{ \dfrac{x}{100} = \dfrac{2800}{112}}$

$\sf{\therefore{112 \times x = 100 \times 2800}}$

$\sf{So, \: x = \dfrac{100 \times 2800}{112} = 2500rs.}$

$\sf{Hence, \boxed{ \boxed{ \large{}\sf{CP=2500rs.}}}}$

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Method 2:- (Unitary method)

$\sf{SP=2800}$

$\sf{Gain=12\%}$

$\sf{If \: CP \: is \: 100, then \: profit \: is \: 12.}$

$\sf{SP=100+12=112}$

$\sf{So, \: When \: SP \: in \: 112rs, \: then \: CP \: is \: 100rs.}$

$\sf{ \implies{ \therefore{When \: SP \: is \: 1 \: then \: CP \: is \: \dfrac{100}{112} }}}$

$\sf{ \implies{Thus, \: when \: SP \: is \: 2800rs, \: then \: CP \: is \: \dfrac{100}{112} \times 2800}} = 2500rs.$

$\sf \large{Hence, \boxed{\sf{ \boxed{ \sf{CP = 2500rs.}}}}}$

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