Question

A man sold an article for Rs 495 and gained 10% on it. find the cost price of the article.

Answer 1

hello there!!!!


Cost price of the article is Rs 450

pls see the attachment above!!!!

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Answer 2

Answer:

✒Given

• A man sold an article for Rs 495 and gained 10% on it.

✒To Find

• The cost price of the article.

✎Solution

Let, the cost price of the article be Rs X

On Rs 100 gain = Rs 10

$\blue{∴} \pink{\mathtt{one \: Rs \: \: 1 \: gain \: = Rs \frac{10}{100} }}$

$\mathtt{\blue{ \rightarrow}on \: \: Rs \: x \: gain = Rs \frac{10}{100} \times x = Rs \frac{x}{100} }$

_________________________________________

We Know that,

$\large \purple{✦ \: } \underline{\mathtt \orange{S.P = C. P + Gain}}$

$\red{∴} 495 = x + \frac{x}{10}$

$\blue{\implies}495 \times 10 = 10x + x$

$\blue{\implies}4950 = 11x$

$\blue{\implies} \frac{11x}{11} = \frac{4950}{11}$

$\blue{\implies}x = \green{450}$

Hence, cost price of the article = Rs 450

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