Math, asked by jahnvijain909, 5 months ago

A radio is sold for Rs 3120 at a loss of 4%. What will be the gain or loss per cent if it is sold
for Rs 3445​

Answers

Answered by Anonymous
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Answer:

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29. A radio is sold for 3120 at a loss of 4%. What will be the gain or loss per cent if it is sold for 3445? 100 each On one she lost 10% while on the other che doinod

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2 Answers

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Sanobar Banik

Grade 8

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Let the original price be .

SP = Rs 3120

Now, SP = CP − loss

So, the cost price is Rs 3250.

If it is sold for Rs 3445, then its a gain because SP > CP.

Now, gain = SP − CP

= Rs (3445 − 3250)

= Rs 195

Hence, gain percent = 6%

Answered by Anonymous
0

Given :-

Selling price of radio at loss of 4% is Rs.3120

To Find :-

Gain or loss% when the selling price of the radio is Rs.3445.

Solution :-

We have ,

Loss% = 4%

Selling price (SP) = Rs.3120

Cost price (CP) = ?

\begin{gathered} \\ \star \: {\boxed{\sf{\purple{ SP= (1 -  \frac{loss\%}{100}) \times CP  }}}} \\ \end{gathered}

Substituting the values we have ,

\begin{gathered} \\ : \implies \sf \: 3120 =(1 -  \frac{4 }{100}) \times CP  \\ \\ \end{gathered}

\begin{gathered} \\ : \implies \sf \: 3120 =  \frac{100 - 4}{100} \times \: CP  \\ \\ \end{gathered}

\begin{gathered} \\ : \implies \sf \: 3120 =  \frac{96}{100}  \times CP \\ \\ \end{gathered}

\begin{gathered} \\ : \implies \sf \:  CP = 3120  \: \times \:  \frac{100}{96}   \\ \\ \end{gathered}

\begin{gathered} \\  \implies \sf \purple{ \:  ∵ CP = Rs.3250} \\ \\ \end{gathered}

Since the change in Cost price is not mentioned . The Cost price will remain constant i.e , Rs.3250.

Selling price = Rs.3445 [Given]

Here (SP) > (CP)

So , There must be a profit.

\begin{gathered} \\ : \implies \sf \:  Profit \: =SP - CP  \\ \\ \end{gathered}

 \implies \sf {profit \:  =  \: 3445 - 3250} \\  \\   \implies \sf{profit \:  =  \: 195}

Profit% of an article is given by ,

   \implies\sf \purple{profit\% \:  =  \: ( \frac{profit}{CP} \times 100)\% } \\

Substituting the values ,

\begin{gathered} \\ : \implies \sf \: profit\% = \frac{195}{3250}  \times 100\%\\ \\ \end{gathered} </p><p>

 \implies \sf \purple{profit\% \:  =  \: 6\% \:  \:  \: (ans)} \\

hope it helps you....

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