Find the Cost price when : S.P. = rs 1500 and gain = 20% tell me the answer first I mark you as brainliest and tell me the answer step by step and send me the photo
Answers
Answer:
Given :
Selling price (SP) = Rs.1500
Gain% = 20%
To Find :
Cost price (CP)
Solution :
The relation between Cost price (CP) , Selling price (SP) & Gain% is ,
\begin{gathered} \\ {\boxed{\bf{Gain\% = \frac{( SP-CP )}{CP} \times 100 }}} \\ \end{gathered}
Gain%=
CP
(SP−CP)
×100
We have ,
SP = Rs.1500
Gain% = 20%
Substituting the values in the formula ,
\begin{gathered} \\ : \implies \sf 20 = \dfrac{(1500 -CP )}{CP} \times 100 \\ \end{gathered}
:⟹20=
CP
(1500−CP)
×100
\begin{gathered} \\ : \implies \sf 20CP= (1500 - CP)100 \\ \end{gathered}
:⟹20CP=(1500−CP)100
\begin{gathered} \\ : \implies \sf 20CP = 1500(100) - 100CP\\ \end{gathered}
:⟹20CP=1500(100)−100CP
\begin{gathered} \\ : \implies \sf \: 20CP + 100CP = 1500 \times 100 \\ \end{gathered}
:⟹20CP+100CP=1500×100
\begin{gathered} \\ : \implies \sf \: 120CP = 1500 \times 100 \\ \end{gathered}
:⟹120CP=1500×100
\begin{gathered} \\ : \implies \sf \:CP = \frac{1500 \times 100}{120} \\ \end{gathered}
:⟹CP=
120
1500×100
\begin{gathered} \\ : \implies \boxed{\bf{{ CP= \: Rs.1250}}} \: \dag \\ \\\end{gathered}
:⟹
CP=Rs.1250
†
∴ The cost price (CP) is Rs.1250
cp Rs 1250
Thanks ......................