55% of a number is 33 less than 70% of the same number. The number is: MCQ with Answer and Explanation

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55% of a number is 33 less than 70% of the same number. The number is:

A. 220

B. 240

C. 200

D. 180

Answer: Option A

Solution (By JKSSB Mock Tests)

0.7x - 0.55x = 33 → 0.15x = 33 → x = 220.

This question belongs to: Maths Percentage

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Question #1

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A shopkeeper sells an article at 20% profit. If bought at 20% less and sold for Rs. 10 less, gain would be 25%. Find CP.

A. Rs. 40

B. Rs. 50

C. Rs. 45

D. Rs. 55

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Correct Answer: Option B

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

This question belongs to: Maths Percentage

Question #2

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A candidate got 52% of the total votes and was elected by a majority of 120 votes. Find the total number of votes.

A. 3500

B. 3000

C. 2500

D. 2000

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Correct Answer: Option B

Explanation:
Winner = 52%, Loser = 48%. Difference = 4%. 4% of Total = 120. Total = 120 * (100 / 4) = 3000.

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Question #3

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A trader bought articles for Rs. 1500. Five were damaged, rest sold at Rs. 3 more than CP each, total profit Rs. 75. Number of articles:

A. 75

B. 60

C. 80

D. 70

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Correct Answer: Option A

Explanation:
Let n articles, CP each=1500/n. Sold (n-5) at (1500/n +3). SP = (n-5)(1500/n +3)=1575. Solving gives n=75.

This question belongs to: Maths Percentage

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