Question

Find the cost price when sp=₹2431 and loss%=13⅓%​

Answer 1

Answer :

The Cost price is 2805 Rs

Step-by-step Explanation :

Given : Selling price = 2431 Rs

Loss percentage = 13⅓%

To find : Cost price = ?

We know that,

C.P = 100/100-loss percentage × S.P

Substituting the given value in above formula

We get ,

C.P = 100/100-13⅓ × 2431

C.P = 100/86.66 × 2431

C.P = 1.154 × 2431

C.P = 2805.4

C.P = 2805 Rs

Answer 2

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

• Selling Price = Rs.2431
• Loss % = 13 ⅓ %

$\star \; {\underline{\boxed{\pmb{\green{\sf{ \; To \; Find \; :- }}}}}}$

• Cost Price = ?

$\star \; {\underline{\boxed{\pmb{\red{\sf{ \; SolutioN \; :- }}}}}}$

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ S.P = \bigg\lgroup \dfrac{100 - Loss \; \%}{100} \bigg\rgroup \times C.P }}}}}$

Where :

• C.P = Cost Price
• S.P = Selling Price

$\\ \qquad{\rule{150pt}{2pt}}$

$\dag$ Calculating the Cost Price :

$\begin{gathered} \dashrightarrow \; \; \sf { S.P = \bigg\lgroup \dfrac{100 - Loss \; \%}{100} \bigg\rgroup \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 = \dfrac{ \bigg\lgroup 100 - 13 \dfrac{1}{3} \bigg\rgroup }{100} \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 = \dfrac{ \bigg\lgroup \dfrac{100}{1} - \dfrac{40}{3} \bigg\rgroup }{100} \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 = \dfrac{ \bigg\lgroup \dfrac{100 - 40}{3} \bigg\rgroup }{100} \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 = \dfrac{ \bigg\lgroup \dfrac{300 - 40}{3} \bigg\rgroup }{100} \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 = \dfrac{ \bigg\lgroup \dfrac{260}{3} \bigg\rgroup }{100} \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 2431 \times 100 = \bigg\lgroup \dfrac{260}{3} \bigg\rgroup \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 243100 = \bigg\lgroup \dfrac{260}{3} \bigg\rgroup \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 243100 \times 3 = 260 \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { 729300 = 260 \times C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { \dfrac{729300}{260} = C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { \cancel\dfrac{729300}{260} = C.P } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; {\underline{\underline{\pmb{\pink{\sf{ Cost \; Price = ₹ \; 2805 }}}}}} \\ \end{gathered}$

$\\ \qquad{\rule{150pt}{2pt}}$

$\dag$ Therefore :

❛❛ Cost Price of the item was ₹ 2805 . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$