Question

an electrician sells a room heater for rupees 3220, gaining 1/6 of its cost price. find his gain percent.​

Answer 1

Step-by-step explanation:

cost price of heater = 3220 ₹

gain in deal of heater = 1/6 × 3220

profit in deal = 536.66 ₹

gain in percentage = ( gain ×100 / CP ) %

= ( 536.66 × 100 / 3220 ) %

= ( 53666 / 3220 ) %

gain in % = 16.66 %

Answer 2

Question -

• An electrician sells a room heater for Rs 3220, gaining 1/6 of its cost price. Find his gain percent.

Answer

Given-

• Selling Price of heater = Rs 3220

• Gain = 1/6 of its Cost Price

To Find -

• Gain %

Formula Used -

$\bigstar \: \boxed{ \red{ \tt \: Selling \: Price = Cost \: Price + Gain}}$

$\bigstar \: \: \boxed{ \purple{ \tt \: Gain\% \: = \: \dfrac{Gain}{Cost \: Price} \times 100}}$

CALCULATION -

Given -

• Selling Price of heater = Rs 3220

• Let Cost price of Heater be Rs x.

So,

• Gain on Heater = Rs x/6

Now,

• We know,

$\rm :\implies\:Selling \: Price = Cost \: Price + Gain$

$\rm :\implies\:3220 = x \: + \: \dfrac{x}{6}$

$\rm :\implies\:\dfrac{6x + x}{6} = 3220$

$\rm :\implies\:\dfrac{7x}{6} = 3220$

$\rm :\implies\:x = 3220 \times \dfrac{6}{7}$

$\rm :\implies\:x \: = \: Rs \: 2760$

So,

$\rm :\implies\:Cost \: Price \: = \: Rs \: 2760$

and

$\rm :\implies\:Gain \: = \: \dfrac{1}{6} \times Cost \: Price$

$\rm :\implies\:Gain \: = \: \dfrac{1}{6} \times 2760 = Rs \: 460$

Now,

$\rm :\implies\:Gain\% \: = \: \dfrac{Gain}{Cost \: Price} \times 100\%$

$\rm :\implies\:Gain\% = \dfrac{460}{2760} \times 100\%$

$\rm :\implies\:Gain\% = 16.67 \: \% \: (approx)$

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{100+Gain \: \% \: (or) \: Loss\:\%}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$