Question

Naresh sold two books for 600rupee each there by gaining 20% on one book and loosing 20%on the other book. find his over all loss or gain percent.​

Answer 1

he gets 120 percen

Step-by-step explanation:

he gets loss

Answer 2

Solution :

$\bullet\:\:\textsf{Selling price of first book = \textbf{600 Rs}}$

$\bullet\:\:\textsf{Profit = \textbf{20 \%}}$

$\underline{ \bigstar \: {\boldsymbol{According\: to \:the\: Question\:now :}} }</p><p>$

$:\implies\sf Cost \: price = \dfrac{100 \times SP}{ \big \{100 + profit \big \}}$

$:\implies\sf Cost \: price = \dfrac{100 \times 600}{ \big \{100 + 20 \big \}}$

$:\implies \underline { \boxed{\sf Cost \: price = 500 \: Rs}}$

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$\bullet\:\:\textsf{Selling price of second book = \textbf{600 Rs}}$

$\bullet\:\:\textsf{loss = \textbf{20 \%}}$

$\underline{ \bigstar \: {\boldsymbol{According\: to \:the\: Question\:now :}} }$

$:\implies\sf Cost \: price = \dfrac{100 \times SP}{ \big \{100 - loss \big \}}$

$:\implies\sf Cost \: price = \dfrac{100 \times 600}{ \big \{100 - 20\big \}}$

$:\implies \underline{ \boxed{\sf Cost \: price = 750 \: Rs}}$

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Therefore,

Total cost price of two books = 500 + 750 = 1250 Rs.

Total selling price of two books = 600 + 600 = 1200 Rs.

Here,

Selling price is more than cost price so loss :

$\dashrightarrow \sf Loss \: = \: cost \: price \: - \: selling \: price$

$\dashrightarrow \sf Loss \: = \: 1250 \: - \: 1200$

$\dashrightarrow \underline{ \boxed{\sf Loss \: = \: 50 \: Rs}}$

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Loss Percentage :

$\dashrightarrow \sf Loss \: \% \: = \dfrac{loss }{cost \: price} \: \times 100$

$\dashrightarrow \sf Loss \: \% \: = \dfrac{50 }{1250} \: \times 100$

$\dashrightarrow \underline{ \boxed{ \sf Loss \: \% \: = 4 \: \%}}$