Question

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

Answer 1

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

Answer 2

$\mathfrak{Answer:}$

= 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 .

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