Question

Find CP if Sp = ₹795, Profit% = 6.25%​

Answer 1

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$\begin{gathered}\begin{gathered}\bf Given = \begin{cases} &\sf{Selling \: Price \: = ₹ \: 795} \\ &\sf{Profit \: \% \: = 6.25\%} \end{cases}\end{gathered}\end{gathered}$

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$\begin{gathered}\begin{gathered}\bf To \: Find = \begin{cases} &\sf{Cost \: Price} \end{cases}\end{gathered}\end{gathered}$

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$\begin{gathered}\begin{gathered}\bf Formula \: Used = \begin{cases} &\sf{CP = \dfrac{100 \times SP}{100 + P\%} } \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf where= \begin{cases} &\sf{CP = Cost \: Price} \\ &\sf{SP = Selling \: Price}\\ &\sf{P\% = Profit\%} \end{cases}\end{gathered}\end{gathered}$

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$\large\underline\purple{\bold{Solution :- }}$

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$\sf \:  ⟼Selling \: Price, \: SP = \: ₹ \: 795$

$\sf \:  ⟼Profit \% = 6.25 \%$

☆Now, using formula,

$\bf \:Cost \: Price = \dfrac{100 \times Selling \: Price}{100 + Profit\%}$

☆On substituting the values, we get

$\bf \:  ⟼ Cost \: Price = \dfrac{100 \times 795}{100 + 6.25}$

$\bf \:  ⟼ Cost Price = \dfrac{79500}{106.25}$

$\bf \:  ⟼ Cost \: Price = ₹ \: 748.23$

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• Profit, P = SP – CP; SP>CP

• Loss, L = CP – SP; CP>SP

• P% = (P/CP) x 100

• L% = (L/CP) x 100

• SP = {(100 + P%)/100} x CP

• SP = {(100 – L%)/100} x CP

• CP = {100/(100 + P%)} x SP

• CP = {100/(100 – L%)} x SP

• Discount = MP – SP

• SP = MP -Discount