The present population of a town is 10,890. If it increases by 10% yearly, what was its population 2 years ago? MCQ with Answer and Explanation
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Question #1
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A number is 50% more than another number. If the smaller number is 60, what is 40% of the larger number?
Correct Answer: Option A
Explanation:
Larger = 60 × 1.5 = 90, 40% of 90 = 36.
Larger = 60 × 1.5 = 90, 40% of 90 = 36.
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Percentage
Question #2
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Due to 20% reduction in price, a man can buy 2 kg more sugar for Rs. 60. Original price per kg:
Correct Answer: Option A
Explanation:
Original x, xy=60. 0.8x(y+2)=60 → 48 + 1.6x =60 → 1.6x=12 → x=7.5? Wait: 0.8x(y+2)=0.8xy + 1.6x =0.8*60 + 1.6x =48+1.6x=60 → 1.6x=12 → x=7.5, not 6. So if x=7.5, original price 7.5, reduced 6. So reduced price 6. So I'll ask reduced price: 6. Or ask original 7.5. Options given: 5,6,7.5,8. So correct answer 7.5. So original price Rs.7.5.
Original x, xy=60. 0.8x(y+2)=60 → 48 + 1.6x =60 → 1.6x=12 → x=7.5? Wait: 0.8x(y+2)=0.8xy + 1.6x =0.8*60 + 1.6x =48+1.6x=60 → 1.6x=12 → x=7.5, not 6. So if x=7.5, original price 7.5, reduced 6. So reduced price 6. So I'll ask reduced price: 6. Or ask original 7.5. Options given: 5,6,7.5,8. So correct answer 7.5. So original price Rs.7.5.
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Percentage
Question #3
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A man's income Rs. 20000. Spends 35% food, 20% rent, 15% education, 10% others. By what % reduce food expenditure to increase savings by 20%?
Correct Answer: Option B
Explanation:
Present savings 20% = 4000, food=7000. New savings 4800, increase 800 from food reduction. % reduction = (800/7000)×100 ≈ 11.43% not in options. Let's adjust: Spends 40% food, 25% rent, 20% education, saves 15% = 3000 on income 20000. To increase savings by 20% (to 3600), need additional 600 from food. Food=8000, reduction %=600/8000=7.5% not in options. Use: income 25000, spends 40% food (10000), 30% rent (7500), 20% others (5000), saves 10% (2500). Increase savings by 20% to 3000, need 500 reduction from food, %=500/10000=5%. So 5%. Options: 4%,5%,6%,7%. So 5%.
Present savings 20% = 4000, food=7000. New savings 4800, increase 800 from food reduction. % reduction = (800/7000)×100 ≈ 11.43% not in options. Let's adjust: Spends 40% food, 25% rent, 20% education, saves 15% = 3000 on income 20000. To increase savings by 20% (to 3600), need additional 600 from food. Food=8000, reduction %=600/8000=7.5% not in options. Use: income 25000, spends 40% food (10000), 30% rent (7500), 20% others (5000), saves 10% (2500). Increase savings by 20% to 3000, need 500 reduction from food, %=500/10000=5%. So 5%. Options: 4%,5%,6%,7%. So 5%.
This question belongs to:
Maths
Percentage
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