Question

if a radio is sold for rs.500, there is a profit of rs.100. find profit percentage.​

Answer 1

GIVEN :-

• S.P of radio is Rs. 500
• Profit = Rs. 100.

TO FIND :-

• The profit percentage.

SOLUTION :-

$\implies \boxed{ \boxed{ \red{ \bf \:C.P = S.P - Profit }}} \\ \\ \implies \rm \: C.P \: = 500 - 100 \\ \\ \implies \rm \:C.P \: = 400$

➠ Hence we got the cost price of radio is Rs. 400. Now apply the formula of Profit %.

$\implies \boxed{ \boxed{ \red{ \bf \:profit\% = \dfrac{profit}{C.P} \times 100\%}}} \\ \\ \implies \rm \: Profit \% = \dfrac{100}{400} \times 100\% \\ \\ \implies \rm Profit\% = \dfrac{100}{4}\% \\ \\ \implies \rm Profit\% = 25\%$

Hence the Profit % is 25 % .

ADDITIONAL INFORMATION :-

$\bf{ \underline{Some Formulae}} \\ \\ \rightarrow \quad \rm P = \dfrac{100 \times S.I}{R \times T} \\ \\ \rightarrow \quad \rm T = \dfrac{100 \times S.I}{P \times R} \\ \\ \rightarrow \quad \rm R = \dfrac{100 \times S.I}{P \times T} \\ \\ \rightarrow \quad \rm A = P + S.I \\ \\ \rightarrow \quad \rm S.I = \dfrac{P \times R \times T}{100}$

Answer 2

$\huge{\underline{\underline{\bf{\red{Given\:}}}}}:$

• $\sf\orange{S.P \ of \ radio \ is \ Rs. \ 500}$
• $\sf\blue{Profit \ = \ Rs. \ 100}$

$\huge{\underline{\underline{\bf{\green{To \ Find\:}}}}}:$

• $\sf\orange{The \ profit \ percentage}$

$\huge{\underline{\underline{\bf{\pink{Solution\:}}}}}:$

$\to\:\:{\boxed{\bf{\red{C.P \ = \ S.P \ - \ Profit}}}}$

$\to\:\:\sf\orange{C.P \ = \ 500 \ - \ 100}$

$\to\:\:\sf\green{C.P \ = \ 400}$

$\mapsto\:\:{\boxed{\bf{\red{Profit\% \ = \ \dfrac{Profit}{C.P} \ \times \ 100\%}}}}$

$\mapsto\:\:\sf\orange{Profit\% \ = \dfrac{100}{400} \ \times \ 100\%}$

$\mapsto\:\:\sf\blue{Profit\% \ = \ \dfrac{100}{4} \ \%}$

$\mapsto\:\:\sf\orange{Profit\% \ = \ 25\%}$

$\bullet \:\: \bf\underline\purple{Hence, \ The \ Profit \ percentage \ = \ 25\%}$