If cost price=Rs960,selling price=Rs1000, find P% are L%
Answers
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