Cerla bought 45 dozen of oranges at rupee 60 per dozen. 10 % of oranges were…
2025
Cerla bought 45 dozen of oranges at rupee 60 per dozen. 10 % of oranges were rotten and could not be sold. At what cost (in rupee per orange) should she sell remaining oranges so as to earn a profit of 10%.
- A.
5.43
- B.
6.11
- C.
5.53
- D.
6.52
Attempted by 10 students.
Show answer & explanation
Correct answer: B
Step-by-Step Solution
To determine the selling price per orange, we first calculate the total investment and the target revenue, then divide by the number of sellable oranges.
Calculate Total Investment (Cost Price):
Total oranges bought = 45 dozen * 12 oranges/dozen = 540 oranges.
Cost Price (CP) = 45 dozen * 60 Rs/dozen = 2700 Rs.
Calculate Target Revenue for 10% Profit:
Required Profit = 10% of CP = 0.10 * 2700 = 270 Rs.
Target Revenue = CP + Profit = 2700 + 270 = 2970 Rs.
Calculate Number of Sellable Oranges:
Rotten oranges = 10% of 540 = 54 oranges.
Sellable oranges = 540 - 54 = 486 oranges.
Calculate Selling Price per Orange:
Selling Price per orange = Target Revenue / Sellable Oranges
Selling Price per orange = 2970 / 486 ≈ 6.11 Rs.