Aditya buys 300 mangoes for Rs. 1,100. Some of these mangoes are rotten and are thrown away. He sells the remaining mangoes at Rs. 5 each and makes a profit of Rs. 150. Find the percentage of mangoes thrown away.

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 4)
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  1. \(16 \frac{1}{2} \% \)
  2. \(15 \frac{2}{3} \% \)
  3. \(16 \frac{2}{3} \% \)
  4. \(16 \frac{1}{3} \%\)

Answer (Detailed Solution Below)

Option 3 : \(16 \frac{2}{3} \% \)
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Detailed Solution

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Given :

Aditya buys 300 mangoes for Rs. 1,100.

Sells the remaining mangoes at Rs. 5 each and makes a profit of Rs. 150.

Formula Used : 

Profit = SP - CP

Calculation : 

Let the number of mangoes rotten be x.

Profit = 150

⇒ 150 = (300 - x)5 - 1100

⇒ 150 = 1500 - 5x - 1100

⇒ 150 = 400 - 5x

⇒ - 5x = - 250

⇒ x = 50

Percentage of mangoes thrown away = 50/300 × 100 = \(16 \frac{2}{3} \% \)

∴ The correct answer is  \(16 \frac{2}{3} \% \).

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