Question

If a retail shop earns a profit of 17% when an led tv is sold at 123142.5, what price had the shop paid for the tv

Answer 1

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

$\green{\tt{\therefore{Cost\:price\:of\:T.V=1,05,250\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green { \underline \bold{Given : }} \\ \tt{: \implies Selling \: price \: of \: T.V = 123142.5} \\ \\ \tt{: \implies Profit\% = 17\%} \\ \\ \red { \underline \bold{To \: Find : }} \\ \tt{: \implies Cost \: price \: of \:T.V = ?}$

• According to given question :

$\text{Let \: C.P \: of \: T.V \: be \: x} \\ \\ \bold{as \: we \: know \: that} \\ \tt{: \implies profit = 17\% \: of \: x} \\ \\ \tt{: \implies Profit = \frac{17}{100} \times x} \\ \\ \tt{: \implies profit = 0.17x} \\ \\ \bold{As \: we \: know \: that} \\ \\ \tt{: \implies Selling \: price = Cost \: price + Profit} \\ \\ \text{Putting \: the \: given \: values} \\ \tt{: \implies 123142.5 = x + 0.17x} \\ \\ \tt{: \implies 123142.5 = 1.17x} \\ \\ \tt{: \implies x = \frac{123142.5}{1.17}} \\ \\ \green{\tt{: \implies x = 105250 \: rupees}} \\ \\ \green{\tt{\therefore Cost \: price \: of \: T.V \: is \: 1,05,250 \: rupees}}$

Answer 2

$\huge\bold\green{Question}$

If a retail shop earns a profit of 17% when an led tv is sold at 123142.5, what price had the shop paid for the tv ?

$\huge\bold\green{Answer}$

According to the question we have given:-

°•° Selling price of Television = 123142.5

°•° Profit percentage = 17 %

So, as said in question we have to find :-

•°• Cost price of Television = __ ?

So, let's start

$\begin{lgathered}\text{Let \: CostPrice \: of \: T.V \: be \: a} \\ \\ \sf{ \implies Profit = 17\% \: of \: a} \\ \\ \sf{ \implies Profit = \frac{17}{100} \times a} \\ \\ \sf{ \implies profit = 0.17a} \\ \\ \\ \sf{ \implies Selling \: price = C.P \: + Profit} \\ \\ \text{Now\: by \:substituting \: the \: given \: values} \\ \\ \sf{ \implies 123142.5 = a + 0.17a} \\ \\ \sf{ \implies 123142.5 = 1.17a} \\ \\ \sf{ \implies a = \frac{123142.5}{1.17}} \\ \\ \pink{\sf{ \implies a = 105250 \: rps.}} \\ \\ \end{lgathered}$

Hence the cost price of television is 105250 rps .