Math, asked by khiampameipc22n5, 1 year ago

James bought two articles for Rs 1800. He sold one of them at a profit of 15% and the other at loss of 8%. If he received the same amount for each article, find the cost price of the articles

Answers

Answered by roshanagrawal
1
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Answered by Intelligentcat
21

Question :-

James bought two articles for Rs 1800. He sold one of them at a profit of 15% and the other at a loss of 8%. If he received the same amount for each article, find the

cost prices of the articles.

Answer :-

  • First Article = Rs. 800.
  • Second Article = Rs. 1000.

Given

❥ James bought two articles for Rs 1800.

❥ He sold one of them at a profit of 15% and the other at a loss of 8%.

❥ He received the same amount for each article.

To Find :-

Find the cost prices of the article ?

SoLuTioN :-

Here we go !

So, let's find out selling price firstly ,

For the first article :-;

SP= {100+G\%}{100}*CP}

\tt{SP=\dfrac{100+15}{100}*x}

\tt{SP=\dfrac{115}{100}*x}

\tt{SP=\dfrac{115x}{100}}

For the second article :-

\sf\small\underline{Here,\:\:CP=1800-x\:\:L=8\%:-}

\tt{ SP=\dfrac{100-L\%}{100}*CP}

\tt{SP=\dfrac{100-8}{100}*1800-x}

\tt{SP=\dfrac{92}{100}*1800-x}

Now,

SP_{(1st)} = SP_{(2nd)}}

\tt{ \dfrac{115x}{100}=\dfrac{92}{100}*1800-x}

\tt{115x=92*(1800-x)}

\tt{ 115x=92*1800-92x}

\tt{115x+92x=1800*92}

\tt{ 207x=165600}

\tt{ x=800}

Hence ,

First Article = Rs. 800.

Second Article = Rs. 1000.

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