Question

by selling an article for rupees 9900 Suresh gains 10% find the cost price of the article

Answer 1

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$Let\:the\:cost\:price\:of\:article\:be\:'x'.\\\\Profit\:or\:Gain=10\%\\\\Profit=10\%\:of\:x\\\\=\frac{10}{100}\times x\\\\=\frac{1}{10}x\\\\CP+Gain=SP\\\\\implies \frac{x}{1}+\frac{1}{10}x=9900\\\\\implies\frac{10x+1}{10}=9900\\\\\implies\frac{11x}{10}=9900\\\\\implies11x=9900\times10\\\\\implies x=\frac{9900\times10}{11}\\\\\implies x=\boxed{9000\:answer}$

Answer 2

The cost price of the article = Rs. 9000

Given :

By selling an article for Rs. 9900 Suresh gains 10%

To find :

The cost price of the article

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the article

Let the cost price of the article = Rs. C

Now it is given that by selling an article for Rs. 9900 Suresh gains 10%

By the given condition

$\displaystyle \sf{ C + \bigg(C \times \frac{10}{100} \bigg) = 9900}$

Step 2 of 2 :

Find the cost price of the article

$\displaystyle \sf{ C + \bigg(C \times \frac{10}{100} \bigg) = 9900}$

$\displaystyle \sf{ \implies C + \frac{10C}{100} = 9900 }$

$\displaystyle \sf{ \implies \frac{100C + 10C}{100} = 9900 }$

$\displaystyle \sf{ \implies \frac{110C}{100} = 9900 }$

$\displaystyle \sf{ \implies C= 9900 \times \frac{100}{110} }$

$\displaystyle \sf{ \implies C= 90 \times 100 }$

$\displaystyle \sf{ \implies C= 9000 }$

Hence cost price of the article = Rs. 9000

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