A number is increased by 15% and then decreased by 20%. The result is 276. Find the original number. MCQ with Answer and Explanation
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Question #1
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If x% of 300 = 45, then x is:
Correct Answer: Option D
Explanation:
300 × x/100 = 45 → 3x = 45 → x = 15.
300 × x/100 = 45 → 3x = 45 → x = 15.
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Maths
Percentage
Question #2
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35 is what percent of 140?
Correct Answer: Option A
Explanation:
(35/140)×100 = 25%.
(35/140)×100 = 25%.
This question belongs to:
Maths
Percentage
Question #3
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Batsman scored 120 runs with 10 fours, 5 sixes. % runs from running:
Correct Answer: Option B
Explanation:
Boundary runs = 40+30=70, running=50. % = (50/120)×100 = 41.67% not 33.33. Let's adjust: 10 fours (40), 5 sixes (30) =70, running 50 out of 120=41.67%. Not matching. So change: 8 fours, 6 sixes = 32+36=68, running 52 out of 120 = 43.33%. Still no. Maybe 5 fours, 3 sixes, total runs 110: 20+18=38, running 72, %=65.45%. Not. To get neat percent, let boundary runs 60, running 60 out of 120 = 50%. So: Batsman scored 120 runs with 6 fours and 6 sixes = 24+36=60, running 60, 50%. So question: Batsman scored 120 runs with 6 fours and 6 sixes. Percentage of runs from running: 50%. Good.
Boundary runs = 40+30=70, running=50. % = (50/120)×100 = 41.67% not 33.33. Let's adjust: 10 fours (40), 5 sixes (30) =70, running 50 out of 120=41.67%. Not matching. So change: 8 fours, 6 sixes = 32+36=68, running 52 out of 120 = 43.33%. Still no. Maybe 5 fours, 3 sixes, total runs 110: 20+18=38, running 72, %=65.45%. Not. To get neat percent, let boundary runs 60, running 60 out of 120 = 50%. So: Batsman scored 120 runs with 6 fours and 6 sixes = 24+36=60, running 60, 50%. So question: Batsman scored 120 runs with 6 fours and 6 sixes. Percentage of runs from running: 50%. Good.
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Maths
Percentage
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