A number is increased by 15% and then decreased by 20%. The result is 276. Find the original number. MCQ with Answer and Explanation

A number is increased by 15% and then decreased by 20%. The result is 276. Find the original number.
A. 280
B. 250
C. 320
D. 300
Answer: Option D
Solution (By JKSSB Mock Tests)
1.15 × 0.8 = 0.92, 0.92x = 276 → x = 300.

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Practice More Percentage Questions

Question #1
Office 60% men. 70% of men and 50% of women have car. % of workers with car:
A. 60%
B. 64%
C. 62%
D. 58%

Correct Answer: Option C


Explanation:
Men with car = 42% of total, women = 20%, total 62%.

This question belongs to: Maths Percentage
Question #2
Population of a city is 80,000, increasing at 15% per year. After 1 year, population is:
A. 94,000
B. 92,000
C. 90,000
D. 88,000

Correct Answer: Option B


Explanation:
80,000 × 1.15 = 92,000.

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Question #3
A student multiplied a number by 2/3 instead of 3/2. What is the percentage error?
A. 66.66%
B. 50%
C. 55.55%
D. 44.44%

Correct Answer: Option C


Explanation:
True = 3/2x. False = 2/3x. Error = (3/2 - 2/3)x = (5/6)x. % Error = ((5/6) / (3/2)) * 100 = (10/18) * 100 = 55.55%.

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