Math, asked by aryan13664, 11 months ago

By selling an article for ₹960 a man incurrs a loss of 4%.What was the cost price of the article. ​

Answers

Answered by Sauron
88

Answer:

The cost price of the Article was Rs.1000

Step-by-step explanation:

Given :

  • Selling price of the Article = Rs.960
  • Loss % = 4%

To Find :

  • The cost price of the article

Solution :

\sf{\implies CP = \dfrac{100}{100-Loss\%}\times SP }

\sf{\implies CP = \dfrac{100}{(100-4)}\times 960 }

\sf{\implies CP = \dfrac{100}{96}\times 960 }

\sf{\implies CP = \dfrac{96000}{96} }

\sf{\implies CP = 1000}

\large{\boxed{\bigstar{\sf \: {CP = Rs.1000 }}}}

∴ The cost price of the Article was Rs.1000

Verification :

\sf{\implies 1000 = \dfrac{100}{(100-4)}\times 960 }

\sf{\implies 1000 = \dfrac{100}{96}\times 960 }

\sf{\implies 1000 = \dfrac{96000}{96} }

\sf{\implies 1000 = 1000}

{\boxed{\bigstar{\sf \: {LHS=RHS}}}}

∴ The cost price of the Article was Rs.1000

Answered by Anonymous
50

\mathfrak{Answer:}

= Rs.1000.

\mathfrak{Step-by-Step\:Explanation:}

\underline{\bold{Given\:in\:the\:Question:}}

  • Selling Price of an article = Rs. 960.
  • Loss = 4%.

\bold{Solution:}

Let the Cost price be Rs. x .

\mathfrak{According\:to\:Question:}\\\\\\\implies\tt{x\:of\:(100-4)\%=960}\\\\\\\implies\tt{x\times\dfrac{96}{100}=960}\\\\\\\implies\tt{x=960\times\dfrac{100}{96}}\\\\\\\implies\tt{x=10\times 100}\\\\\\\implies\tt{x=1000.}\\\\\\\boxed{\boxed{\bold{Cost\:Price=Rs.1000}}}

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