Two lots of oranges with equal quantity, one costing Rs. 20 per dozen and the other costing Rs. 30 per dozen, are mixed together and the whole lot is sold at Rs. 24 per dozen. Find the profit or loss in percentage? 

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UGC NET Paper 1: Held on 4th Mar 2023 Shift 2
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  1. 5.2% profit
  2. 4% loss
  3. 4% profit
  4. 5.2% loss

Answer (Detailed Solution Below)

Option 2 : 4% loss
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Concept used:

1 dozen = 12 elements

Calculation:

Let's assume that the total number of oranges is 24, so, in the 1st lot and 2nd lot have 12 oranges each.

So, total cost price of 24 oranges is (20 + 30) = 50

Then, cost price of 12 oranges(1-dozen) = 50/24 × 12 = 25

Now, CP of 1 dozen oranges is 25 and SP = 24, then loss% = (25 - 24)/25 × 100 = 4%

∴ The correct answer is 4% loss

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