Question

by selling an article for rupees 960 a man includes a loss of 4% what was the cost price of the article ​

Answer 1

Answer:

1000

Step-by-step explanation:

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 }⟹CP=

100−Loss%

100

×SP

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

(100−4)

100

×960

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

96

100

×960

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

96

96000

\sf{\implies CP = 1000}⟹CP=1000

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

★CP=Rs.1000

∴ The cost price of the Article was Rs.1000

Verification :

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

(100−4)

100

×960

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

96

100

×960

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

96

96000

\sf{\implies 1000 = 1000}⟹1000=1000

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

★LHS=RHS

∴ The cost price of the Article was Rs.1000

Answer 2

Step-by-step explanation:

●Sol :-

》》》 $\textbf{Let the cost price be 100%}$

》》》 96% = 960

》》》 1% = 10

》》》 100% = 10 × 100 = 1000

$\textbf{Hope ! You understand}$