9 of 30 Question: A man buys oranges at Rs.11 a dozen and an equal nu er at Rs.9 a dozen. He sells them at Rs.15 a dozen and makes a profit of Rs 50. How many oranges does he buy?
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Let the number of oranges he bought for Rs.11 per dozen be x.
So the number oranges he bought for Rs. 9 per dozen will also be x because it is written in the question that number of oranges is same.
Therefore total no. of oranges he bought= 2x
Cost of 12 oranges= Rs. 11
Cost of 1 orange= Rs. 11/12
Cost of x oranges= Rs. 11x/12
Cost of 12 oranges= Rs. 9
Cost of 1 Orange= Rs. 9/12
Cost of x oranges= Rs. 9x/12
Therefore, total cost of oranges= Rs 11x/12 + 9x/12
= 20x/ 12
Selling price of 12 oranges= Rs. 15
Selling price of 1 orange= Rs. 15/12
Selling price of 2x oranges= Rs. 15*2x/12 = Rs 30x/12
Profit = Selling price - Cost price
50= 30x/12 - 20x/12
50= 10x/12
x= 50*12/10
x= 60
Total no. of oranges= 2x = 2*60 = 120 oranges.
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