Question

Sonu sold an article for ₹ 3400 and lost 15% on it. The cost price of the article was
(a) ₹ 4400
(b) ₹ 4000
(c) ₹ 3600
(d) ₹ 4200​

Answer 1

Given :

• SP = ₹ 3400
• Loss% = 15%

$\:$

To Find :

• What was the cost price of the article?

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Formula Used :

• ${\tt{ \fbox\pink{ \: CP \: = \: \dfrac{100}{(100 - loss\%)} \: × \: SP \: }}}$

$\:$

Solution :

The question states that Sonu sold an article for ₹ 3400 and lost 15% on it. We have to find that what was the cost price of the article. For this, we'll use the given formula :

$\rm{ \Longrightarrow \: \fbox{CP = \dfrac{100}{(100 - loss\%)} × SP}}$

Now, let's solve..!

$\sf{: \: \implies \: CP = \dfrac{100}{(100 - loss\%)} × SP}$

$\;$

$\sf{: \: \implies \: CP = \dfrac{100}{(100 - 15)} × 3400}$

$\;$

$\sf{: \: \implies \: CP = \dfrac{100}{85} × 3400}$

$\;$

$\sf{: \: \implies \: CP = 100 × 40}$

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$\sf{: \: \implies \: CP = 4000}$

$\mathfrak{ \therefore \: \underline{The~cost~price~of~the~article~was~(b)~Rs.~4000.} }$

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Answer 2

$\underline{ \boxed{\mathbb{\red{⛄answer♡࿐⛄}}}}$

$b) \: rupees \: 4000$

Step-by-step explanation:

Hope it helpful for you