A number is increased by 15% and then decreased by 15%. If the resulting number is 782, what was the original number? MCQ with Answer and Explanation

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A number is increased by 15% and then decreased by 15%. If the resulting number is 782, what was the original number?

A. 800

B. 750

C. 780

D. 820

Answer: Option A

Solution (By JKSSB Mock Tests)

1.15 × 0.85 = 0.9775. 0.9775x = 782 → x = 782/0.9775 = 800.

This question belongs to: Maths Percentage

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Question #1

Wage decreased 20% then increased 20%. Loss %:

A. 5%

B. 2%

C. 4%

D. 0%

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Correct Answer: Option C

Explanation:
0.8×1.2 = 0.96, loss 4%.

This question belongs to: Maths Percentage

Question #2

A number is increased by 20% and then decreased by 25%. The result is 36 less than the original. Find the original number.

A. 360

B. 320

C. 300

D. 400

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Correct Answer: Option A

Explanation:
1.2 × 0.75 = 0.9. 0.9x = x - 36 → 0.1x = 36 → x = 360.

This question belongs to: Maths Percentage

Question #3

Convert 3/4 into a percentage.

A. 60%

B. 75%

C. 65%

D. 70%

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Correct Answer: Option B

Explanation:
(3/4) × 100 = 75%.

This question belongs to: Maths Percentage

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