Question

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

Answer 1

$\bf \: \underline{Given} :$ ↴

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

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

$\bf \: \underline{To \: find} :$ ↴

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

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

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

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

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

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

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

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

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

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

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

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

$\small \: \boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}$