Percentage Aptitude Questions Practice Question and Answer
8 Q: The price of sugar is increased by 20%. As a result, a family has to decrease its consumption by 20%. The expenditure of the family on sugar is decreased by
646 060b70feacef13e72bbf96579
60b70feacef13e72bbf96579- 10%false
- 22.5 %false
- 34 %true
- 45 %false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "4 %"
Q: 35 percent of a number is 1249.5. What is 78 percent of that number?
635 0611e11ce3419655efd036031
611e11ce3419655efd036031- 12382.5false
- 22784.6true
- 32912.25false
- 42452.6false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "2784.6"
Q: If the total monthly income of 16 persons is ₹ 80,800 and the income of one of them is 120% of the average income, then his income is
632 063a98b87e590d4085fc68c79
63a98b87e590d4085fc68c79- 1₹ 5,050false
- 2₹ 6,060true
- 3₹ 6,160false
- 4₹ 6,600false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "₹ 6,060 "
Q: The rate of wheat increased by 25%. How many percent may the use of wheat be reduced so that the expenditure on that item remains the same?
624 0609a663a4587a93a1dc85703
609a663a4587a93a1dc85703- 120%true
- 235%false
- 330%false
- 425%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "20%"
Q: B is 10% more than A. C is 20% less than A. B is what percentage more than C?
617 064225a4b5bff3d098d0b98ea
64225a4b5bff3d098d0b98ea- 145%false
- 227.5%false
- 337.5%true
- 425%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "37.5%"
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.
609 06426e27c72ca731a990e28e2
6426e27c72ca731a990e28e2- 115,972true
- 212,200false
- 311,200false
- 410,200false
- Show AnswerHide Answer
- Workspace
- SingleChoice
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:
𝑃=𝑃0×(1+𝑟)𝑛P=P0×(1+r)n
Where:
- 𝑃P = Population after 𝑛n years
- 𝑃0P0 = Initial population
- 𝑟r = Rate of increase (in decimal form)
- 𝑛n = Number of years
Given:
- 𝑃0=12,000P0=12,000 (Initial population)
- 𝑟=0.10r=0.10 (10% increase per annum)
- 𝑛=3n=3 (Number of years)
Substitute these values into the formula:
𝑃=12,000×(1+0.10)3P=12,000×(1+0.10)3
𝑃=12,000×(1.10)3P=12,000×(1.10)3
𝑃=12,000×(1.331)P=12,000×(1.331)
𝑃=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.]
599 0643d140332185cce373eec85
643d140332185cce373eec85- 111.11%false
- 212.5%false
- 314.16%false
- 413.04%true
- Show AnswerHide Answer
- Workspace
- SingleChoice
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 × 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 ≈ [(1 - 0.8696) * 100] ≈ 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: The number obtained by subtracting two-third of 75% of 600 from a number is 320, what is the original number?
596 0631090be7c72c07784688297
631090be7c72c07784688297- 1500false
- 2300false
- 3620true
- 4720false
- Show AnswerHide Answer
- Workspace
- SingleChoice