Percentage Practice Question and Answer
8 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?
575 0631f3242671e1904db7217c5
631f3242671e1904db7217c5- 167.22 %true
- 268.22 %false
- 365,22 %false
- 466.22 %false
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Answer : 1. "67.22 % "
Q: The cost of an article was 75. The cost was first increased by 20% and later on it was reduced by 20%. The present cost of the article is:
575 0639c91d6c7eb1b240b5fc0e7
639c91d6c7eb1b240b5fc0e7- 172true
- 260false
- 375false
- 490false
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Answer : 1. "72"
Q: The population of a city in the year 2020 was 2,00,000. The rate of growth of population is 8% per annum. Find the population of that city in the year 2022.
574 0642822c87ac9a186e4e061e7
642822c87ac9a186e4e061e7- 12,29,484false
- 22,33,280true
- 32,21,785false
- 42,12,890false
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Answer : 2. "2,33,280"
Q: In an examination 60% of the students passed in English and 70% in Mathematics, if 20% of the students failed in both the subjects and 2500 students passed in both the subjects, then what is the total number of candidates?
570 06319b4a42d4ba278b66e3c36
6319b4a42d4ba278b66e3c36- 14000false
- 25000true
- 33000false
- 43500false
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Answer : 2. "5000"
Q: Manju's salary is 60% more than Sohan's then tell what % Sohan's salary is less than Manju's salary?
567 06322867a4eed097ecb55b5e8
6322867a4eed097ecb55b5e8- 125%false
- 237.50%true
- 322.50%false
- 445%false
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Answer : 2. "37.50%"
Q: If 15% of 40 is 2 more than 25% of a number, then the number will be
566 06322f6884eed097ecb578105
6322f6884eed097ecb578105- 136false
- 224false
- 316true
- 412false
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Answer : 3. "16"
Q: The average monthly salary of all the employees in a company is ₹ 12,000. Among them the average salary of male employees is ₹15,000 and that of female employees is ₹8000. Accordingly, what is the ratio of male and female employees?
564 06321b4954eed097ecb5222e0
6321b4954eed097ecb5222e0- 15 : 2false
- 23 : 4false
- 34: 3true
- 42 : 5false
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Answer : 3. "4: 3"
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.]
564 0643d140332185cce373eec85
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 × 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.