A number is increased by 20% and then decreased by 15%. The resulting number is 204. Find the original number. MCQ with Answer and Explanation

A number is increased by 20% and then decreased by 15%. The resulting number is 204. Find the original number.
A. 210
B. 180
C. 200
D. 190
Answer: Option C
Solution (By JKSSB Mock Tests)
1.2 × 0.85 = 1.02, 1.02x = 204 → x = 200.

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Practice More Percentage Questions

Question #1
In a city, 55% read newspaper A, 45% read B, 20% read both. % reading exactly one newspaper:
A. 50%
B. 60%
C. 55%
D. 65%

Correct Answer: Option B


Explanation:
Only A = 55-20=35%, only B=45-20=25%, exactly one = 60%.

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Question #2
If 40% of a number exceeds 25% of the same number by 36, find the number.
A. 220
B. 200
C. 260
D. 240

Correct Answer: Option D


Explanation:
0.4x - 0.25x = 0.15x = 36 x = 240.

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Question #3
After spending 85% of his income, a man saves Rs. 4500. His income is:
A. 30000
B. 25000
C. 28000
D. 32000

Correct Answer: Option A


Explanation:
Savings 15% = 4500, income = 4500/0.15 = 30000.

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