A number increased by 25% then by 20% becomes 180. Original number: MCQ with Answer and Explanation
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Question #1
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A person spends 25% of his income on food, 20% on rent, 15% on education and saves the rest. If his savings are Rs. 7200, his income is:
Correct Answer: Option C
Explanation:
Spend % = 25+20+15=60%, save 40% = 7200, income = 7200/0.4 = 18000.
Spend % = 25+20+15=60%, save 40% = 7200, income = 7200/0.4 = 18000.
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Percentage
Question #2
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A machine depreciates 12% per year. Its value after 1 year if purchased for Rs. 60,000 is:
Correct Answer: Option D
Explanation:
60,000 × 0.88 = 52,800.
60,000 × 0.88 = 52,800.
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Percentage
Question #3
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Batsman scored 120 runs with 10 fours, 5 sixes. % runs from running:
Correct Answer: Option D
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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