A man buys a certain number of oranges at 20 for Rs.60 and an equal number at 30 for Rs.60. He mixes them and sells them at 25 for Rs.60. What Is gain or loss per cent

A man buys a certain number of oranges at 20 for Rs.60 and an equal number at 30 for Rs.60. He mixes them and sells them at 25 for Rs.60. What Is gain or loss per cent
1). Gain of 4%
2). Loss of 4%
3). Neither gain nor loss
4). Loss of 5%

Loss of 4% seems correct.

Let the man buy $\large 60$ oranges (LCM of $\large 20$ and $\large 30$) of each kind.

CP of the $\large 60$ oranges of the first kind=$ \large \frac{60}{20}\times 60=120 Rs.$

Total CP of $\large 120 $oranges $\large =(180+120)Rs.= 300$

Their SP=$\large \frac{60}{25}\times 120=288$ Rs.

$ \large Loss=(300-288)= 12$ Rs.

$\large \therefore$ Loss percent= $\large \frac{12}{300}\times 100= 4%$

Let the man buy $\large 60$ oranges (LCM of $\large 20$ and $\large 30$) of each kind.

CP of the $\large 60$ oranges of the first kind=$ \large \frac{60}{20}\times 60=120 Rs.$

Total CP of $\large 120 $oranges $\large =(180+120)Rs.= 300$

Their SP=$\large \frac{60}{25}\times 120=288$ Rs.

$ \large Loss=(300-288)= 12$ Rs.

$\large \therefore$ Loss percent= $\large \frac{12}{300}\times 100= 4%$

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