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. 780

B. 820

C. 800

D. 750

Answer: Option C

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

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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. 80

B. 70

C. 85

D. 75

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Correct Answer: Option A

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

This question belongs to: Maths Percentage

Question #2

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A shopkeeper sells an article at 20% profit. Had he bought it at 20% less and sold it for Rs. 10 less, he would have gained 25%. Cost price is:

A. Rs. 55

B. Rs. 45

C. Rs. 50

D. Rs. 40

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Correct Answer: Option C

Explanation:
CP=x, SP=1.2x. New CP=0.8x, new SP=1.2x-10 = 1.25×0.8x = x → 1.2x-10=x → 0.2x=10 → x=50.

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Question #3

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What percent is 400 g of 4 kg?

A. 10%

B. 8%

C. 12%

D. 12.5%

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Correct Answer: Option A

Explanation:
4 kg = 4000 g, (400/4000)×100 = 10%.

This question belongs to: Maths Percentage

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