Percentage Aptitude Questions Practice Question and Answer
8 Q: In a college 12% of all the students are interested in sports, 10% of the total students are interested in singing and three-fourth of the total students are interested in dancing and remaining 15 students are not interested in any activity, How many total students are there in the college?
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631093297c72c07784689974- 1450false
- 2500true
- 3600false
- 4None of thesefalse
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Answer : 2. "500"
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.]
980 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.
Q: A is 40 % more than B and B is 60% less than C. If C is 60 % more than D, then which of the following is true?
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6051c855a37d522d6c152063- 1C is 60 % more than B.false
- 2B is 36 % less than D.true
- 3D is 10.4 % more than A.false
- 4A is 54 % less than C.false
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Answer : 2. "B is 36 % less than D."
Q: After an increase in tea price by 40% a family reduce its consumption of tea to the extent that there should be an increase on tea expense only by 10%. If the earlier consumption of tea was 28 kg, then what will be their new consumption?
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5f2cf951b57ade01caff2d9e- 118 kgfalse
- 222 kgtrue
- 325 kgfalse
- 430 kgfalse
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Answer : 2. "22 kg"
Q: Products pass successively through the hands of three traders and each of them sells his goods at a profit of 30% of his cost price. If the last trader sold the products for Rs.300, then how much did the first trader pay for them?
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64abe2eb8c254a4ceae36f8b- 1Rs.330.55 (approx)false
- 2Rs.136.55 (approx)true
- 3Rs.240.55 (approx)false
- 4Rs.137.55 (approx)false
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Answer : 2. "Rs.136.55 (approx)"
Q: The average marks obtained in a class of 50 students is 70%. The average of first 25 is 60% and that of 24 is 80%. What is the marks obtained by the last student?
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638dd3e09ebad6607b985e0c- 190%false
- 260%false
- 380%true
- 470%false
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Answer : 3. "80%"
Q: Two numbers are more than the third number by 20 % and 50 % respectively. Find the first number is what percent of the second number?
973 05f1a84e88ae6514e222c2ead
5f1a84e88ae6514e222c2ead- 180%true
- 2120%false
- 3100%false
- 4150%false
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Answer : 1. "80% "
Q: Due to 20% reduction in the price of wheat, a person can buy 10 kg more wheat than before for Rs 600, what is the price of wheat after the decrease in the price?
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6319b35f6a86583500fe6dd9- 111.50 Rs. per kg.false
- 2Rs.12.50 per kg.false
- 3Rs.12 per kgtrue
- 4Rs.15 per kgfalse
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