0.5% of 2000 is: MCQ with Answer and Explanation
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Question #1
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If the selling price of an article is doubled, the profit triples. Find the original profit percent.
Correct Answer: Option C
Explanation:
Let CP = C, SP = S, profit = S - C. New SP = 2S, new profit = 3(S-C) = 2S - C. So 3S - 3C = 2S - C → S = 2C. Profit% = (S-C)/C × 100 = (2C-C)/C × 100 = 100%.
Let CP = C, SP = S, profit = S - C. New SP = 2S, new profit = 3(S-C) = 2S - C. So 3S - 3C = 2S - C → S = 2C. Profit% = (S-C)/C × 100 = (2C-C)/C × 100 = 100%.
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Percentage
Question #2
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A boat goes 16 km upstream and 24 km downstream in 6 hours. It also goes 12 km upstream and 36 km downstream in the same time. Find the speed of the boat in still water.
Correct Answer: Option B
Explanation:
Let speed in still water = x, stream = y. 16/(x-y) + 24/(x+y) = 6; 12/(x-y) + 36/(x+y) = 6. Let 1/(x-y)=a, 1/(x+y)=b. 16a+24b=6, 12a+36b=6. Solving: a=1/4, b=1/12. So x-y=4, x+y=12 → x=8, y=4. Wait, x=8, not 10. I miscalculated: 16a+24b=6, divide by 2: 8a+12b=3. 12a+36b=6 → 2a+6b=1. From 2a+6b=1 → a=(1-6b)/2. Substitute: 8*(1-6b)/2 +12b = 4(1-6b)+12b = 4-24b+12b = 4-12b = 3 → b=1/12. Then a = (1-6/12)/2 = (1-0.5)/2 = 0.25 = 1/4. So x-y=4, x+y=12 → x=8. So answer 8 kmph. Option B 8 kmph. I'll correct options.
Let speed in still water = x, stream = y. 16/(x-y) + 24/(x+y) = 6; 12/(x-y) + 36/(x+y) = 6. Let 1/(x-y)=a, 1/(x+y)=b. 16a+24b=6, 12a+36b=6. Solving: a=1/4, b=1/12. So x-y=4, x+y=12 → x=8, y=4. Wait, x=8, not 10. I miscalculated: 16a+24b=6, divide by 2: 8a+12b=3. 12a+36b=6 → 2a+6b=1. From 2a+6b=1 → a=(1-6b)/2. Substitute: 8*(1-6b)/2 +12b = 4(1-6b)+12b = 4-24b+12b = 4-12b = 3 → b=1/12. Then a = (1-6/12)/2 = (1-0.5)/2 = 0.25 = 1/4. So x-y=4, x+y=12 → x=8. So answer 8 kmph. Option B 8 kmph. I'll correct options.
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Percentage
Question #3
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If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?
Correct Answer: Option C
Explanation:
Let original fraction be x/y. New numerator = x + 2x = 3x. New denominator = y + 3y = 4y. So, (3x / 4y) = 15/26. x/y = (15 * 4) / (26 * 3) = 60 / 78 = 10/13.
Let original fraction be x/y. New numerator = x + 2x = 3x. New denominator = y + 3y = 4y. So, (3x / 4y) = 15/26. x/y = (15 * 4) / (26 * 3) = 60 / 78 = 10/13.
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Maths
Percentage
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