A number is increased by 20% and then decreased by 20%. The resulting number is 20 less than the original. Find the original number. MCQ with Answer and Explanation

A number is increased by 20% and then decreased by 20%. The resulting number is 20 less than the original. Find the original number.
A. 500
B. 550
C. 400
D. 450
Answer: Option A
Solution (By JKExamLibrary)
1.2×0.8=0.96, 0.96x = x - 20 → 0.04x=20 → x=500.

This question belongs to: Maths Percentage

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Practice More Percentage Questions

Question #1 Report Error
A gets 25% more than B, B gets 20% more than C. C=500, A's share:
A. 725
B. 700
C. 750
D. 775

Correct Answer: Option C


Explanation:
C=500, B=600, A=600×1.25=750.

This question belongs to: Maths Percentage
Question #2 Report Error
A number is 20% less than another number. If the smaller number is 120, the larger number is:
A. 150
B. 160
C. 144
D. 140

Correct Answer: Option A


Explanation:
Smaller = 80% of larger → 120 = 0.8L → L = 150.

This question belongs to: Maths Percentage
Question #3 Report Error
Price of rice reduced by 20%, allowing a person to buy 5 kg more for Rs. 120. Reduced price per kg is:
A. Rs. 5.4
B. Rs. 3.6
C. Rs. 4
D. Rs. 4.8

Correct Answer: Option D


Explanation:
Original x, xy=120. New 0.8x(y+5)=120 → 96+4x=120 → x=6, reduced price = 4.8.

This question belongs to: Maths Percentage