A number is decreased by 10% and then the new number is increased by 20%. If the resulting number is 540, find the original number. MCQ with Answer and Explanation

Question

A number is decreased by 10% and then the new number is increased by 20%. If the resulting number is 540, find the original number.

A. 520

B. 480

C. 500

D. 450

Answer: Option C

Solution (By JKSSB Mock Tests)

0.9 × 1.2 = 1.08, 1.08x = 540 → x = 500.

This question belongs to: Maths Percentage

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Question #1

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If 15% of x is the same as 20% of y, then x:y is:

A. 5:3

B. 3:5

C. 4:3

D. 3:4

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Correct Answer: Option C

Explanation:
0.15x = 0.2y → x/y = 0.2/0.15 = 4/3 → 4:3.

This question belongs to: Maths Percentage

Question #2

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A person spends 30% of his income on rent, 20% of the remaining on food, and saves the rest. If he saves Rs. 11200, his income is:

A. 18000

B. 22000

C. 25000

D. 20000

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Correct Answer: Option D

Explanation:
After rent 70% left, after food 0.8×70%=56% saved. 56% = 11200 → income=20000.

This question belongs to: Maths Percentage

Question #3

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What is 80 decreased by 25%?

A. 50

B. 60

C. 80

D. 70

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Correct Answer: Option B

Explanation:
25% of 80 = 20. 80 - 20 = 60.

This question belongs to: Maths Percentage

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