Question : A fruit vendor bought bananas at the rate of 5 for a rupee and sold them 4 for a rupee. The percentage gain or loss is:
Option 1: $12\frac{1}{2}$% gain
Option 2: $25$% loss
Option 3: $25$% gain
Option 4: $12\frac{1}{2}$% loss
Correct Answer: $25$% gain
Solution :
Let the vendor buy 20 (LCM of 5 and 4) bananas.
Here, CP is the cost price and SP is the selling price.
CP of 5 bananas = Re. 1
$\therefore$ CP of 20 bananas = Rs. 4
and SP of 4 bananas = Re. 1
$\therefore$ SP of 20 bananas = Rs. 5
Gain = SP of 20 bananas – CP of 20 bananas = 5 – 4 = Re. 1
Gain percentage = $\frac{1}{4}×100$ = 25%
Hence, the correct answer is 25% gain.
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