Question

A shopkeeper bought pencils at 6 per Rupee. Calculate his selling price
for 6 pencils to gain 20%?​

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• A shopkeeper bought pencils at 6 per Rupee.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• Selling price for 6 pencils to gain 20% .

$\sf{\huge{\underline{\green{Answer :-}}}}$

A shopkeeper bought pencils at 6 per Rupee.

1 pencil = Rs.6

• Gain(Profit) = 20%

• Quantity of pencil = 6

Cost Price of 6 pencil = 6 × 6 = 36

We know that,

Profit % = $\dfrac{Profit}{C.P.} \times 100$

➝ 20 = $\dfrac{Profit}{36} \times 100$

➝ $\dfrac{20 \times 36}{100} \times 100$ = Profit

➝ Profit = $\dfrac{20 \times 36}{100}$

➝ Profit = $\cancel{\dfrac{720}{100}}$

➝ Profit = 7.2

We know that,

Profit = S.P. - C.P.

➝ 7.2 = S.P. - 36

➝ 7.2 + 36 = S.P.

➝ S.P. = Rs. 43.2

$\boxed{\begin{minipage}{5cm}\bigstar \:\underline{\textbf{Profit and Loss Formulas :}}\\\\ \\ \sf {\textcircled{\footnotesize\textsf{1}}} \:S.P. = \sf \bigg\lgroup\dfrac{100 + Profit \%}{100}\bigg\rgroup \times 100 \\\\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:C.P. = \sf \dfrac{S.P. \times 100}{100 + Profit \%} \\\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:Profit = \sf \dfrac{Profit \% \times C.P.}{100} \\\\\\ \sf{\textcircled{\footnotesize\textsf{4}}} \: \:Profit (gain) = S.P. - C.P. \\\\\\\sf{\textcircled{\footnotesize\textsf{5}}} \: \: \sf Profit \% = \dfrac{Profit}{C.P.} \times 100 \end{minipage}}$

Answer 2

Answer:

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