Question

Vimla purchased a watch for Rs 500. She sold it at a loss of 20%. Find the selling price.


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Answer 1

GIVEN :-

• C.P of watch = Rs. 500.
• Loss % = 20 %.

TO FIND :-

• Selling price (S.P).

SOLUTION :-

$\\ \dag \boxed{ \red{ \bf \: S.P =\dfrac{ C.P \times (100 - Loss \%)}{100}}}$

★ Substitute the given values,

$\\ : \implies \sf \: \dfrac{500 \times (100 - 20)}{100} \\ \\ : \implies \sf \: \dfrac{500 \times 80}{100} \\ \\ : \implies \sf \: \cancel \dfrac{40000}{100} \\ \\ : \implies \sf \: 400 \\ \\ : \implies \sf \: \underline{ \boxed{ \blue{ \sf \: S.P = 400}}}$

❏ Hence Selling price = Rs. 400.

ADDITIONAL INFORMATION :-

◉ When Profit % is given,

$\\ : \implies \red{\bf \: S.P =\dfrac{ C.P \times (100 + Profit \%)}{100} }$

$\\ : \implies \red{ \bf \: C.P =\dfrac{ S.P \times 100 )}{100 + Profit \%}}$

◉ When Loss % is given,

$\\ : \implies \red{ \bf \: S.P =\dfrac{ C.P \times (100 - Loss \%)}{100}}$

$\\ :\implies \red{ \bf \: C.P =\dfrac{ S.P \times 100 )}{100 - Loss \%} }$

Answer 2

$\mathcal\gray{\underbrace{\blue{GIVEN:-}}}$

• Vimal purchased a watch for Rs. 500 .

• She sold it at a loss of 20% .

✍️ Cost Price [C.P] = Rs. 500 .

✍️ Loss % = 20% .

$\mathcal\gray{\underbrace{\blue{TO\:FIND:-}}}$

• The selling price [S.P] .

$\mathcal\gray{\underbrace{\blue{CALCULATION:-}}}$

✍️ We have know that,

$\pink\bigstar\:\rm{\purple{\boxed{\red{Loss\:Percentage\:=\:\dfrac{C.P\:-\:S.P}{C.P}\:\times{100}\:}}}}$ $<font color=green>$

$\rm{\implies\:Loss\%\:=\:\dfrac{500\:-\:S.P}{500}\times{100}\:}$

$\rm{\implies\:20\:=\:\dfrac{500\:-\:S.P}{5}\:}$

$\rm{\implies\:500\:-\:S.P\:=\:20\times{5}\:}$

$\rm{\implies\:S.P\:=\:500\:-\:100\:}$

$\rm{\boxed{\purple{\implies\:S.P\:=\:Rs.400\:}}}$ $<font color=red>$

$\rm{\green{\therefore}}$ The selling price is “ Rs. 400 ” .