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A dealer sold three-forth (3/4th) of his articles at a gain of 20% and the remaining articles at the cost price. Find the gain earned by him in the whole transaction.

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UGC NET Paper 1: Held on 1st Oct 2022 Shift 1
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  1. 20%
  2. 18%
  3. 16%
  4. 15%

Answer (Detailed Solution Below)

Option 4 : 15%
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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Concept Used:

The formula used to calculate the percentage gain in the buying and selling of an item can be given as,

Explanation:-

Suppose, the cost price of the article is Rs. 100.

We know that (3/4)th of 100 is 75. So, the sells price of the article according to the questions,

  

So, the percentage gain earned by dealer,

Thus, the gain earned by dealer in the whole transaction is 15%.

Hence, the correct option is 4.

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Last updated on Jul 7, 2025

-> The UGC NET Answer Key 2025 June was released on the official website ugcnet.nta.ac.in on 06th July 2025.

-> The UGC NET June 2025 exam will be conducted from 25th to 29th June 2025.

-> The UGC-NET exam takes place for 85 subjects, to determine the eligibility for 'Junior Research Fellowship’ and ‘Assistant Professor’ posts, as well as for PhD. admissions.

-> The exam is conducted bi-annually - in June and December cycles.

-> The exam comprises two papers - Paper I and Paper II. Paper I consists of 50 questions and Paper II consists of 100 questions. 

-> The candidates who are preparing for the exam can check the UGC NET Previous Year Papers and UGC NET Test Series to boost their preparations.

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