Nitin bought some oranges at Rs. 40 a dozen a | vedclass

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(A) Let the number of dozens of oranges bought at each price be $x$.The cost price $(C.P.)$ for the first batch is $40x$ and for the second batch is $

Vedclass · Accepted Answer

$48$

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(A) Let the number of dozens of oranges bought at each price be $x$.The cost price $(C.P.)$ for the first batch is $40x$ and for the second batch is $30x$.Total $C.P. = 40x + 30x = 70x$.The total number of dozens bought is $2x$. He sold these at $Rs. 45$ per dozen.Total selling price $(S.P.)$ $= 2x 	imes 45 = 90x$.Profit is given as $Rs. 480$.Profit $= S.P. - C.P. = 90x - 70x = 20x$.Given $20x = 480$,so $x = 24$.The total number of dozens bought $= 2x = 2 	imes 24 = 48$ dozens.

Nitin bought some oranges at $Rs. 40$ a dozen and an equal number at $Rs. 30$ a dozen. He sold them at $Rs. 45$ a dozen and made a profit of $Rs. 480$. The total number of dozens of oranges he bought was:

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