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

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

A. 820

B. 780

C. 750

D. 800

Answer: Option D

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 Report Error

A number is increased by 25% and then the result is decreased by 25%. If the final number is 75, find the original number.

A. 70

B. 85

C. 75

D. 80

Correct Answer: Option D

Explanation:
1.25 × 0.75 = 0.9375, 0.9375x = 75 → x = 80.

This question belongs to: Maths Percentage

Question #2 Report Error

If A is twice of B, then B is what percentage less than A?

A. 50%

B. 100%

C. 75%

D. 25%

Correct Answer: Option A

Explanation:
A = 2B. Difference is B. Percentage less = (B / A) * 100 = (B / 2B) * 100 = 50%.

This question belongs to: Maths Percentage

Question #3 Report Error

If the price of sugar rises by 25%, by what percent must consumption be reduced so that expenditure remains the same?

A. 15%

B. 20%

C. 18%

D. 25%

Correct Answer: Option B

Explanation:
Reduction = (25/125)×100 = 20%.

This question belongs to: Maths Percentage