Question

By Selling
a Goat for Rs 990
a man Losses 10 %, at what
What prise should he sell
the goat to gain 10%. ? ?​

Answer 1

$\huge{AηsωeR} ✍$

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$\large\underline\red{\bold{❥︎Step :- 1 }}$

$\begin{gathered}\begin{gathered}\bf here - \begin{cases} &\sf{Selling \: Price \: of \: Goat \: = \: ₹ \: 990} \\ &\sf{Loss \%= 10\%} \end{cases}\end{gathered}\end{gathered}$

$\sf \:  ⟼☆ Let \: Cost \: Price \: of \: Goat \: be \: ₹ \: x.$

$\bf \:  ⟼ So, \: we \: know,$

$\sf \:  ⟼Cost \: Price = \dfrac{Selling \: Price \: \times 100}{100 - Loss\%}$

$\sf \:  ⟼Cost \: Price = \dfrac{100 \times 990}{100 - 10 }$

$\sf \:  ⟼Cost \: Price = \dfrac{100 \times \: ^{11} \: \cancel{990}}{ \cancel{90}}$

$\bf \:  ⟼ Cost \: Price = \: ₹ 1100.$

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$\large\underline\red{\bold{❥︎Step :- 2 }}$

$\begin{gathered}\begin{gathered}\bf here - \begin{cases} &\sf{ Cost \: Price \: of \: Goat \: = \: ₹ \: 1100} \\ &\sf{Profit \%= 10\%} \end{cases}\end{gathered}\end{gathered}$

$\large\underline\blue{\bold{To \:  Find :-  }}$

$\sf \:  ⟼Selling \: Price \: of \: Goat$

$\bf \:  ⟼ So, \: we \: know,$

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

$\sf \:  ⟼Selling \: Price = \dfrac{(100 + 10) \times \: \: ^{11}\cancel{1100}}{ \cancel{100}}$

$\sf \:  ⟼Selling \: Price = 110 \times 11 \: = \: ₹ 1210$

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$\large \red{\bf \: ⟼ Explore \: more } ✍$

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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

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