A number increased by 25% then by 20% becomes 180. Original number: MCQ with Answer and Explanation

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A number increased by 25% then by 20% becomes 180. Original number:

A. 120

B. 130

C. 110

D. 100

Answer: Option A

Solution (By JKSSB Mock Tests)

x × 1.25 × 1.2 = 1.5x = 180 → x = 120.

This question belongs to: Maths Percentage

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Question #1

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The difference between two numbers is 50. If 40% of the larger number is equal to 60% of the smaller number, find the sum of the two numbers.

A. 250

B. 275

C. 225

D. 200

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Correct Answer: Option A

Explanation:
0.4L = 0.6S → L/S = 3/2 → L = 3k, S = 2k. L - S = k = 50 → k=50. L=150, S=100, sum = 250.

This question belongs to: Maths Percentage

Question #2

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Price of sugar increased 25%. Expenditure to rise only 12%. Consumption reduced by:

A. 11.2%

B. 13.6%

C. 10.4%

D. 12%

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Correct Answer: Option C

Explanation:
1.25 × x = 1.12 → x = 1.12/1.25 = 0.896, reduction 10.4%.

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Question #3

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Population of a town is 1,32,300 now. Increased 5% annually. Population 2 years ago:

A. 1,15,000

B. 1,20,000

C. 1,18,000

D. 1,22,000

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Correct Answer: Option B

Explanation:
Pop 2 years ago = 132300 / (1.05)² = 132300 / 1.1025 = 1,20,000.

This question belongs to: Maths Percentage

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