Fresh grapes contain 68% water while dry grapes contain 20% water. How many kilograms of dry grapes can be obtained from 100 kg of fresh grapes? MCQ with Answer and Explanation
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Question #1
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A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
Correct Answer: Option B
Explanation:
True value = 5/3x. False value = 3/5x. Error = (5/3 - 3/5)x = (16/15)x. % Error = ((16/15) / (5/3)) * 100 = (16/25) * 100 = 64%.
True value = 5/3x. False value = 3/5x. Error = (5/3 - 3/5)x = (16/15)x. % Error = ((16/15) / (5/3)) * 100 = (16/25) * 100 = 64%.
This question belongs to:
Maths
Percentage
Question #2
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Kerosene price up 25%. To keep expenditure same, reduce consumption by:
Correct Answer: Option D
Explanation:
Reduction = (25/125)×100 = 20%.
Reduction = (25/125)×100 = 20%.
This question belongs to:
Maths
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 D
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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