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 1

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Question:- \: \star}}}}}$

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.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\boxed{\sf\purple{First \: article = {Rupees \: 800 [Rs]}}}$

$\boxed{\sf\purple{Second \: article = {Rupees \: 1000 [Rs]}}}$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

❥ 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.

$\Large{\underline{\underline{\bf{Find:-}}}}$

Find the cost prices of the article ?

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Here we go !

So, let's find out selling price firstly ,

$\sf\small\underline\pink{For\:the\:(1st)\: article:-}$

$\sf\small\underline{Here,\:\:CP=x\:\:P=15\%:-}$

$\tt{SP=\dfrac{100+G\%}{100}*CP}$

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

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

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

$\sf\small\underline\pink{For\:the\:2nd\: article:-}$

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

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

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

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

Now,

$\tt{ SP\:_{(1st)}=SP\:_{(2nd)}}$

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

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

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

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

$\tt{ 207x=165600}$

$\tt{ x=800}$

$\therefore\underline{\boxed{\textsf{Cost of Article 1 is = {\textbf{800Rs}}}}} \qquad\qquad \bigg\lgroup\bold{Correct \ answer} \bigg\rgroup$

$\underline{\boxed{\textsf{Cost of Article 2 is = {\textbf{1000Rs}}}}} \qquad\qquad \bigg\lgroup\bold{Correct\ answer} \bigg\rgroup$

Answer 2

Answer:

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