Question : A fruit seller buys 480 bananas for INR 1,200. Some of these bananas are rotten and hence, they are thrown away. He sells the remaining bananas at INR 3.5 each and makes a profit of INR 396. What is the percentage of bananas thrown away?
Option 1: 6%
Option 2: 4.5%
Option 3: 5%
Option 4: 4%
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Correct Answer: 5%
Solution :
Let's denote the number of bananas thrown away as $x$.
The cost per banana can be calculated as $\frac{\text{Total Cost}}{\text{Total Bananas}}$.
Given, the selling price of a banana = INR 3.5
Profit = INR 396
Cost price per Banana $=\frac{\text{Total Cost}}{\text{Total Bananas}}=\frac{1200}{480}=\mathrm{INR\ }2.5$
Total Revenue = Selling Price per Banana × Number of Remaining Bananas
Total Revenue} = 3.5 × (480 − $x$)
⇒ Profit = Total Revenue − Total Cost
⇒ 396 = 3.5 × (480 − $x$) − 1200
⇒ 3.5 × (480 − $x$) = 1596
⇒ 480 − $x$ = $\frac{1596}{3.5}$
⇒ 480 − $x$ = 456
⇒ $x$ = 24
Now, 24 bananas were thrown away.
Percentage of Bananas Thrown Away
$=\frac{\text{Number of Bananas Thrown Away}}{\text{Total Bananas}}×100$
$=\frac{24}{480}×100=5\%$
Hence, the correct answer is 5%.
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