Question : A shopkeeper purchased 1600 mangos at the rate of INR 120 per dozen. Out of these, he sold 900 mangoes at INR 15 per mango and the remaining mangoes at INR 14 per mango. His gain percentage is:
Option 1: 45.625%
Option 2: 38.265%
Option 3: 35.625%
Option 4: 48.765%
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Correct Answer: 45.625%
Solution :
Let us find the total sale first.
Sold 900 mangoes at INR 15 per mango.
$\therefore$ Sale = 900$\times$15 = INR 13500
The remaining mangoes (700) at INR 14 per mango
Sale = 700$\times$14 = INR 9800
Total sale = 13500 + 9800 = INR 23300
He bought 1600 mangoes for 120 per dozen.
The cost price of each mango = $\frac{120}{12}$= INR 10
So, the cost price of 1600 mangoes = 10$\times$1600 = INR 16000
$\therefore$ Profit = 23300 – 16000 = INR 7300
$\therefore$ Gain percentage = $\frac{7300}{16000}\times 100 = 45.625\%$
Hence, the correct answer is 45.625%.
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