Question

Rinki bought 5 pencils for 4 and sells 4 pencils
for 5. The gain per cent in the transaction is
a 25%
(b) 20%
c) 56-%1\4
(d) 50%
​

Answer 1

This is the correct answer and mark me as brain list

Answer 2

$\underline{\underline{\blue{ \bf Answer:-}}}$

$\green{\tt\therefore The\: Profit\: percentage\:is\:56.25\%}$

$\underline{\underline{\orange {\bf Step-by-step\: Explanation:-}}}$

$\underline{\green{\bf Given :}}$

$\tt:\implies Rinki\:bought\:5\:pencils\:for\:Rs4.\\\tt:\implies She\:sold\:4\:pencils\:for\:Rs5.$

$\underline{\red{\bf To\:Find:}}$

$\tt:\implies The\:gain\: percentage\: during\: the\: transaction.$

• According to Question ,

$\tt She\:boughts\:5\:pencils\:for\:Rs4.\\\tt Then \: cost\:of\:one\: pencil\:=\:Rs\dfrac{4}{5}$

$\bf Hence\:Cost\:Price\:of\: one\: pencil\:is\:Rs\dfrac{4}{5}=Rs0.8 .$

$\tt She\:sells\:4\:pencils\:for\:Rs5.\\\tt Then \: cost\:of\:one\: pencil\:=\:Rs\dfrac{5}{4}$

$\bf Hence\: Selling\:Price\:of\: one\: pencil\:is\:Rs\dfrac{5}{4}= 1.25.$

$\tt\pink{ So\:the\: Profit\;on\:one\:pencil =Rs(1.25-0.8)=Rs 0.45 }$

$\tt:\implies \red{Profit\%=\bigg\lgroup\dfrac{Profit}{Cost\: Price}\bigg\rgroup\times 100} \\\\\tt:\implies Profit\%=\dfrac{0.45}{0.8}{100}\\\\\tt:\implies Profit\%=\dfrac{45}{80}\times 100 \\\\\underline{\boxed{\purple{\tt\longmapsto Profit\%=56.25\% }}}$