Question

Raja bought 6 dozen oranges at ₹360.He found that 10 oranges were rotten . He sold the rest at ₹60 per dozen. How much did he gain or loss?
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Answer 1

Answer:

Step-by-step explanation:

6dozen=72

CP =360rs

1 dozen=60 rs

1 orange=5 rs

10 are rotten

left=62 oranges

cp=60 per dozen=5 per orange

62 x 5=310

loss=50 rs

Answer 2

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

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• Raja bought 6 dozen oranges at ₹360

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• 10 oranges were rotten

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• He sold the rest at ₹60 per dozen

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• His gain or loss

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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$\underline{\bold{\texttt{Cost price of 1 dozen oranges :}}}$

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➠ $\sf \dfrac { Total \ cost \ price } { Number \ of \ dozens }$

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➜ $\sf \dfrac { 360 } { 6 }$

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➨ Rs 60

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• Hence each dozen of orange costs Rs 60

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$\underline{\bold{\texttt{Cost price of 1 orange :}}}$

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• Number of oranges in 1 dozen = 12

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➠ $\footnotesize{ \sf Cost \ of \ 1 \ orange = \dfrac { Cost \ price \ of \ 1 \ dozen } { Number \ of \ orange \ in 1 \ dozen }}$

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➜ $\sf \dfrac { 60 } { 12 }$

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➨ Rs 5

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• Hence each orange is bought for Rs 5

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$\underline{\bold{\texttt{Selling price of 1 orange :}}}$

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Given that selling price of 1 dozen of orange is Rs 60

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• Number of oranges in 1 dozen = 12

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➠ $\footnotesize{ \sf Cost \ of \ 1 \ orange = \dfrac { Selling \ price \ of \ 1 \ dozen } { Number \ of \ orange \ in 1 \ dozen }}$

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➜ $\sf \dfrac { 60 } { 12 }$

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➨ Rs 5

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• Hence each orange is sold for Rs 5

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$\underline{\bold{\texttt{Total oranges sold :}}}$

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Given that 10 oranges were not sold as they were rotten

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Thus total oranges sold :

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➜ 6(12) - 10 oranges

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➜ 72 - 10

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➨ 62

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• Hence 62 oranges were sold

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$\underline{\bold{\texttt{Total Amount received while selling :}}}$

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Selling price of 1 orange × Number of oranges

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➜ 5 × 62

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➨ Rs 310

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• Hence total amount got by selling left oranges is Rs. 310

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$\underline{\bold{\texttt{For loss or gain :}}}$

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• Amount used to by oranges = Rs 360

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• Amount revived by selling oranges = Rs 310

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Thus this is a case of loss as the Amount used to by oranges is greater than Amount revived by selling oranges

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Hence he got a loss of 360 - 310 Rupees

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∴ There is a loss of Rs 50

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