Percentage Aptitude Questions Practice Question and Answer
8 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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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: If the purchase price of an article is equal to 80 percent of its selling price then there will be profit.
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5f75a5b0f66ef56de84ea529- 120%false
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Answer : 4. "25 %"
Q: The price of an article is reduced by 25% but the daily sale of the article is increased by 30%. The net effect on the daily sale receipts is
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Answer : 2. "
Q: The number obtained by subtracting two-third of 75% of 600 from a number is 320, what is the original number?
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Answer : 3. "620"
Q: If the length of a rectangle is increased by 20% and its breadth is decreased by 20%, its area:
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Answer : 2. "Decreases by 4%"
Q: In an exam, 3 marks are scored on the correct solution, but 2 marks are deducted on the wrong solution. If a student scores 75 questions and gets 75 marks, the correct answer is the number of questions.
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Answer : 2. "35"
Q: In an examination in which full marks were 700, A gets 20 % more than B, B gets 20 % more than C, and Cgets 15 % less than D. If A got 576 marks, then what percentage of full marks did D get?
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Answer : 1. "67.22 % "
Q: If the income of A is 25% more than that of B, then by what percent is the income of B less than that of A?
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