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UGC-NET-Paper1

Maths

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Read the Question carefully and choose the correct option.

Average of ten positive numbers is X. If each number is increased by 10 %, then new average increases by:

1. 12%
2. 11%
3. 10%
4. 8%

दस धनात्मक संख्याओं का औसत X है। यदि प्रत्येक संख्या में 10% की वृद्धि की जाती है, तो नया औसत कितना बढ़ जाता है:

1. 12%
2. 11%
3. 10%
4. 8%

This Question came in

UGC-NET-English-01-December-2021-Shift-1-Q24

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Detailed Explanation & Answer

Let's say the average (X) of your ten numbers is 5 (you can choose any positive number).
So, the total sum of the numbers would be 10 * 5 = 50.
Increasing each number by 10% means multiplying each number by 1.1 (100% + 10% = 110%).

The new sum becomes 50 * 1.1 = 55.
The new average (X1) would be 55/10 = 5.5.

The percentage increase in the average:

(New average - Original average) / Original average * 100%
((5.5 - 5) / 5) * 100%
= (0.5 / 5) * 100%
= 10%

मान लीजिए कि आपकी दस संख्याओं का औसत (X) 5 है (आप कोई भी धनात्मक संख्या चुन सकते हैं)।
तो, संख्याओं का कुल योग 10 * 5 = 50 होगा।
प्रत्येक संख्या को 10% बढ़ाने का अर्थ है प्रत्येक संख्या को 1.1 (100% + 10% = 110%) से गुणा करना।

नया योग 50 * 1.1 = 55 हो जाता है।
नया औसत (X1) 55/10 = 5.5 होगा।

औसत में प्रतिशत वृद्धि:

(नया औसत - मूल औसत) / मूल औसत * 100%
((5.5 - 5) / 5) * 100%
= (0.5 / 5) * 100%
= 10%

The Correct Answer is 3

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