Question

Sonu sold a cycle for ₹1700 and lost 15% on it. What is the cost price of the cycle?​

Answer 1

$\star \; {\underline{\boxed{\orange{\pmb{\frak{ \; Given \; :- }}}}}}$

• S.P. = Rs. 1700

• Loss% = 15%

$\begin{gathered}\begin{gathered} \\ \\ \end{gathered}\star \;{\underline{\boxed{\red{\pmb{\frak{ \; To \; Find \; :- }}}}}}\end{gathered}$

• C.P. = ?

$\begin{gathered}\begin{gathered} \\ \qquad{\rule{200pt}{2pt}} \end{gathered} \\ \\ \star \; {\underline{\boxed{\color{darkblue}{\pmb{\frak{ \;SolutioN \; :- }}}}}}\end{gathered}$

$\maltese$ Formula  Used :

${\underline{\boxed{\pmb{\sf{ C.P. = \dfrac{100}{100} - Loss\% × S.P.}}}}}$

$\begin{gathered}\begin{gathered} \\\end{gathered}\end{gathered}$

Where :

• S.P. = Selling Price

• C.P. = Cost Price

$\begin{gathered}\begin{gathered} \\ \\ \end{gathered}\end{gathered}$

$\maltese$ Calculating The Cost Price :

$\begin{gathered}\begin{gathered}\begin{gathered} \qquad \; \longrightarrow \; \; \sf { C.P. = \dfrac{100}{100} - Loss\% × S.P.} \\ \\ \\ \end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered} \qquad \; \longrightarrow \; \; \sf { C.P. = \dfrac{100}{100} - 15 × 1700} \\ \\ \\ \end{gathered} \end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { C.P. = \dfrac{100}{85} × 1700} \\ \\ \\ \end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { C.P. = \dfrac{170000}{85} } \\ \\ \\ \end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { C.P. = \cancel{\dfrac{170000}{85} }} \\ \\ \\ \end{gathered} \end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \;{\underline{\boxed{\pmb{\sf{ C.P. = 2000}}}}} \; {\pink{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \\ \\ \end{gathered}\end{gathered}$

$\therefore$ Cost price of The Cycle is Rs. 2000.

$\begin{gathered}\begin{gathered} \\ \qquad{\rule{200pt}{2pt}} \end{gathered}\end{gathered}$

Answer 2

Answer:

500

Step-by-step explanation:

140x50

= 140 x 50 / 14  

x = 500