Math, asked by maanassrivastav515, 3 months ago

(b) An electrician sells a room heater fo: 3220, gaining 1/6 of its cost price. Find his gain %​

Answers

Answered by SachinGupta01
5

\bf \:  \underline{Given} :

\sf \: An \: electrician \: sells \: a \: room \: heater \: for \: Rs. 3220

 \sf \: He  \: gain   \: \dfrac{1}{6}  \: of \:  its  \: cost \:  price.

 \bf \: \underline{To \:  find} :

\sf \: We \:  have  \: to \:  find \:  the  \: Gain \:  \%

\bf \:  \star \: \underline{ \red{So,  \: Let's \:  Start } }\:  \star

\sf \: Gain \: in \: room \: heater =  \dfrac{1}{6}  \times  3220

\sf \: Gain \:  in  \: room  \: heater = \:  536.66

\sf \: Hence,  \: his  \:  profit  \:  =  \: Rs. \: 536.66

\sf \: Now,  \: we \:  will  \: found  \: the \:  profit  \: percent.

\sf \:  \underline{As \:  we \:  know \:  that},

\boxed{  \pink{\sf \: Profit  \:  \% =  \dfrac{Profit}{CP}  \times  100}}

\sf \: Profit   \: \% =  \dfrac{536.66}{3220}  \times 100

\sf \: Profit   \: \% =  \dfrac{53666}{3220}

 \red{\sf \: Profit   \: \% =  16.67 \:  \% }

 \underline{ \boxed{ \sf \: Hence, Gain  \: \% = 16.67 \:  \% }}

 \small \: \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}}

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