Question : 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.
Option 1: $16 \frac{1}{2} \%$
Option 2: $15 \frac{2}{3} \%$
Option 3: $16 \frac{2}{3} \%$
Option 4: $16 \frac{1}{3} \%$
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Correct Answer: $16 \frac{2}{3} \%$
Solution : Number of mangoes purchased = 300 Selling Price = Rs. 5/mango Total Profit = Rs. 150 Number of mangoes sold = $\frac{\text{CP + Profit}}{5}$ = $\frac{1100+150}{5} = 250$ $\therefore$ Number of mangoes thrown away = 300 – 250 = 50 Percentage = $\frac{50}{300}\times 100 = \frac{50}{3} = 16\frac{2}{3}\%$ Hence, the correct answer is $16\frac{2}{3}\%$.
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