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Santa Singh, the local fruit vendor, buys a certain number of oranges at Rs 7 a dozen and equal number at Rs 6 a dozen. He sells the oranges at Rs 7.50 a dozen and makes a profit of Rs 80. How many oranges does he buy?
  • a)
    20 dozens
  • b)
    70 dozens
  • c)
    80 dozens
  • d)
    40 dozens
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Santa Singh, the local fruit vendor, buys a certain number of oranges ...
C.P. of 2 dozen oranges = Rs. (7 + 6) = Rs. 13.
S.P. of 2 dozen oranges = Rs. 7.5(2)= 15
 If profit is Rs. 2,
oranges bought = 2 dozen.
 If profit is Rs. 80,
oranges bought = (2/2 x 80) dozens = 80 dozens.
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Most Upvoted Answer
Santa Singh, the local fruit vendor, buys a certain number of oranges ...
Given:
- Santa Singh buys a certain number of oranges at Rs 7 a dozen and an equal number at Rs 6 a dozen.
- He sells the oranges at Rs 7.50 a dozen and makes a profit of Rs 80.

To find:
- The number of oranges Santa Singh buys.

Assumption:
- Let's assume that Santa Singh buys x dozens of oranges.

Calculation:
1. Cost price of oranges bought at Rs 7 a dozen = (x/2) dozens * Rs 7/dozen = Rs (7x/2)
2. Cost price of oranges bought at Rs 6 a dozen = (x/2) dozens * Rs 6/dozen = Rs (6x/2) = Rs (3x)
3. Total cost price of all oranges = Rs (7x/2 + 3x) = Rs (13x/2)

4. Selling price of oranges = x dozens * Rs 7.50/dozen = Rs (7.50x)
5. Profit = Selling price - Cost price = Rs (7.50x) - Rs (13x/2) = Rs (3.50x)

Given:
- Profit = Rs 80

6. Rs (3.50x) = Rs 80

7. Solving the equation:
x = 80 / 3.50 = 22.857

Conclusion:
- Since the number of oranges cannot be in decimals, we can round off x to the nearest whole number, which is 23.
- Therefore, Santa Singh buys 23 dozens of oranges.
- The correct answer is option C) 80 dozens.
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Santa Singh, the local fruit vendor, buys a certain number of oranges at Rs 7 a dozen and equal number at Rs 6 a dozen. He sells the oranges at Rs 7.50 a dozen and makes a profit of Rs 80. How many oranges does he buy?a)20 dozensb)70 dozensc)80 dozensd)40 dozensCorrect answer is option 'C'. Can you explain this answer?
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