Question

A loss of 5% was suffered by selling a plot for 4085 . The cost price of plot was.​

Answer 1

Since there is a 5% loss in this deal, it implies that on a cost of Rs. 100, the seller got Rs. 95.

Hence the cost price on above deal is 4085/95 *100 = Rs. 4300.

Rake

Answer 2

Answer:

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{Given:}}}}}}}\end{gathered}$

• ● A loss of 5% was suffered by selling a plot for 4085 .

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{To Find:}}}}}}} \end{gathered}$

• ● The cost price of plot

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{Using Formula:}}}}}}}\end{gathered}$

${\dag{\underline{\boxed{\sf{ C.P =\dfrac{100}{100 - loss\%} \times S.P}}}}}$

$\begin{gathered}{\textsf{\textbf{\underline{Where:}}}}\end{gathered}$

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

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{Solution:}}}}}}}\end{gathered}$

$\begin{gathered}{\textsf{\textbf{\underline{Here:}}}}\end{gathered}$

• ● S.P = Rs.4085
• ● Loss% = 5%

$\begin{gathered}{\textsf{\textbf{\underline{Finding the C.P:}}}}\end{gathered}$

$\quad{: \implies{\sf{ C.P ={\bf\dfrac{100}{100 - loss\%}\times S.P}}}}$

• ● Substituting the values

$\quad{: \implies{\sf{ C.P ={\bf\dfrac{100}{100 - 5}\times 4085}}}}$

$\quad{: \implies{\sf{ C.P ={\bf\dfrac{100}{95}\times 4085}}}}$

$\quad{: \implies{\sf{ C.P ={\bf\dfrac{100}{\cancel{95}}\times{\cancel{4085}}}}}}$

$\quad{: \implies{\sf{ C.P ={\bf{100 \times 43}}}}}$

$\quad{: \implies{\sf{ C.P ={\bf{4300}}}}}$

$\dag{\underline{\boxed{\rm{\purple{C.P ={Rs.4300}}}}}}$

$\begin{gathered}{\textsf{\textbf{\underline{Therefore:}}}}\end{gathered}$

• ● The cost price of plot was Rs.4300.

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{Verification:}}}}}}}\end{gathered}$

$\begin{gathered}{\textsf{\textbf{\underline{Checking our answer :}}}}\end{gathered}$

$\quad{: \implies{\sf{ S.P = \bf\dfrac{100 - loss\%}{100} \times C.P}}}$

• ● Substituting the values

$\quad{: \implies{\sf{ S.P = \bf\dfrac{100 - 5}{100} \times 4300}}}$

$\quad{: \implies{\sf{ S.P = \bf\dfrac{95}{100} \times 4300}}}$

$\quad{: \implies{\sf{ S.P = \bf\dfrac{95}{\cancel{100}} \times \cancel{4300}}}}$

$\quad{: \implies{\sf{ S.P = \bf{95} \times{43}}}}$

$\quad{: \implies{\sf{ S.P = \bf{4085}}}}$

$\dag{\underline{\boxed{\rm{\purple{S.P ={Rs.4085}}}}}}$

$\begin{gathered}{\textsf{\textbf{\underline{Therefore:}}}}\end{gathered}$

• ● LHS = RHS
• ● Hence Verified ꪜ

$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline{\red{Know More :}}}}}}}\end{gathered}$

$\begin{gathered}\begin{gathered}\large\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100 - loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100 - loss\%} \times S.P}\end{array} }\end{gathered}\end{gathered}$