Percentage Aptitude Questions Practice Question and Answer
8 Q: If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.
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6426e27c72ca731a990e28e2- 115,972true
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Answer : 1. "15,972"
Explanation :
To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:
๐=๐0ร(1+๐)๐P=P0ร(1+r)n
Where:
- ๐P = Population after ๐n years
- ๐0P0 = Initial population
- ๐r = Rate of increase (in decimal form)
- ๐n = Number of years
Given:
- ๐0=12,000P0=12,000 (Initial population)
- ๐=0.10r=0.10 (10% increase per annum)
- ๐=3n=3 (Number of years)
Substitute these values into the formula:
๐=12,000ร(1+0.10)3P=12,000ร(1+0.10)3
๐=12,000ร(1.10)3P=12,000ร(1.10)3
๐=12,000ร(1.331)P=12,000ร(1.331)
๐=15,972P=15,972
So, the population after 3 years would be approximately 15,972.
Q: The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]
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643d140332185cce373eec85- 111.11%false
- 212.5%false
- 314.16%false
- 413.04%true
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Answer : 4. "13.04%"
Explanation :
To solve this problem, let's denote:
- Initial price of sugar = P
- Initial quantity consumed = Q
- Initial expenditure = PQ
After the price increases by 15%, the new price becomes 1.15P.
To keep the expenditure constant, the new quantity consumed (let's call it Q') can be calculated using the formula:
New expenditure = New price ร New quantity
Setting the new expenditure equal to the initial expenditure:
PQ = (1.15P) * Q'
Now, solve for Q':
Q' = PQ / (1.15P)
Simplify:
Q' = Q / 1.15
Now, let's find the percentage decrease in consumption:
Percentage decrease = [(Q - Q') / Q] * 100
Substituting the value of Q':
Percentage decrease = [(Q - (Q / 1.15)) / Q] * 100
Percentage decrease = [(Q * (1 - 1/1.15)) / Q] * 100
Percentage decrease โ [(1 - 0.8696) * 100] โ 13.04%
Therefore, the consumption of sugar should be decreased by approximately 13.04% to keep the expenditure on the purchase of sugar the same after a 15% increase in price.
Q: In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?
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Answer : 3. "6000"
Explanation :
Let's denote the total number of students who appeared in the examination as ๐ฅx.
Given that 92% of the students passed, it means 8% failed because the total percentage is 100%.
We can set up the equation:
8% of ๐ฅ=4808% of x=480To find 8% of ๐ฅx, we multiply ๐ฅx by 81001008 (which is the same as multiplying by 0.08):
0.08๐ฅ=4800.08x=480Now, we can solve for ๐ฅx:
๐ฅ=4800.08x=0.08480๐ฅ=6000x=6000So, 6000 students appeared in the examination.
Q: If 40% of (A+B) = 60% of (A-B) then is
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Answer : 1. " "
Explanation :
Q: 0.15% of of โน 10000 is :
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653f6eb2dfda58cb3c9373bf- 1โน 5true
- 2โน 150false
- 3โน 0.05false
- 4โน 105false
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Answer : 1. "โน 5"
Explanation :
Q: If x% of is 150, then the value of x is :
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653f7cb899dc28caf022bf23- 11000false
- 21200true
- 31400false
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Answer : 2. "1200"
Explanation :
Q: if 50% of (x-y) =30% of (x+y), then what percentage of x is y?
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653f7d3bc298bbcb027eedf6- 125%true
- 2false
- 340%false
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Answer : 1. "25%"
Explanation :
Q: What percent of 3.6kg is 72 gms ?
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65424f3299dc28caf02ba6cf- 132%false
- 222%false
- 312%false
- 42%true
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