Question

A Man Buys Oranges At 9 For Rs 1.60and sells them at 11 for rs. 2. what is his gain or loss percent

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Profit\%=2.27\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Cost \: price \: of \: 9 \: oranges = 1.6 \: rupees \\ \\ \tt: \implies Selling \: price \: of \: 11 \: oranges = 2 \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies Gain\% \: or \: Loss\% = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies C.P \: of \: 9 \: oranges = 1.6 \\ \\ \tt: \implies C.P \: of \: 1 \: orange = \frac{1.6}{9} \: rupees \\ \\ \bold{For \: C.P \: of \: 11 \: oranges} \\ \tt: \implies C.P \: of \: 11 \: orange = \frac{1.6}{9} \times 11 \\ \\ \tt: \implies C.P \: of \: 11 \: orange = \frac{17.6}{9} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies profit = S.P - C.P \\ \\ \tt: \implies Profit = 2 - \frac{17.6}{9} \\ \\ \tt: \implies Profit = \frac{18 - 17.6}{9} \\ \\ \green{\tt: \implies Profit = \frac{0.4}{9} } \\ \\ \bold{For \: Profit\%} \\ \tt: \implies profit\% = \frac{Profit}{C.P} \\ \\ \tt: \implies Profit\% = \frac{ \frac{0.4}{9} }{ \frac{17.6}{9} } \times 100 \\ \\ \tt: \implies Profit\% = \frac{0.4}{9} \times \frac{9}{17.6} \times 100 \\ \\ \tt: \implies Profit\% = \frac{40}{17.6} \\ \\ \green{\tt: \implies Profit\% = 2.27\%}$

Answer 2

Answer:

$\bullet\:\:\sf{CP\: of \:9 = Rs\:1.60}$

$\:\:\:\:\sf{CP \:of \:1=\frac{1.60}{9} =Rs\:0.177}$

$\\\bullet\:\:\sf{SP\: of \:11 = Rs\:2}$

$\:\:\:\:\sf{SP\:of \:1=\frac{2}{9} =Rs\:0.181}$

$\rule{160}{1}$

$\underline{\bf{\dag}\:\textsf{According to the Question :}}$

we can see that Selling Price (SP) is more than Cost Price (CP), therefore it will be Gain Percent for Man.

$\dashrightarrow\tt\:\:Gain\%=\dfrac{Gain}{CP} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{(SP-CP)}{CP} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{(0.181-0.177)}{0.177} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{0.004}{0.177} \times 100\\\\\\\dashrightarrow\tt\:\:Gain\%=\dfrac{0.4}{0.177}\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Gain\%=2.26\%}}$

⠀

$\therefore\:\underline{\textsf{Therefore Gain Percent to Man is \textbf{2.26\%}}.}$