Percentage 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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- 212.5%false
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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: The price of wheat is reduced by 4 % How many kilogram of wheat can now be bought for the money which was sufficient to buy 48 kg of wheat earlier?
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631f34f2b0a2a82fc5667e2d- 145 kgfalse
- 250 kgtrue
- 355 kgfalse
- 440 kgfalse
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Answer : 2. "50 kg "
Q: In an office, 40 % of the staff is female. 70 % of the female staff and 50 % of the male staff are married. The percentage of the unmarried staff in the office is
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5ef56d5df2ebd073795eb908- 165 %false
- 260 %false
- 342 %true
- 464 %false
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Answer : 3. "42 % "
Q: In an election 20% of the voters did not vote and 120 votes were invalid. Winner got 200 votes more than this opponent and secured 41% votes of the total number of votes. What percentage of the votes defeated candidate got out of the total votes cast?
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- 245%true
- 336%false
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Answer : 2. "45%"
Q: Mohan gets 4 marks for each correct sum and losses 1 marks for each wrong sum. He attempted 30 sum and obtains 50 marks. The number of sums solved correctly is?
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5ebeb915106f3017d503ebac- 120false
- 215false
- 316true
- 418false
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Answer : 3. "16"
Q: B got 20% marks less than A. What per cent marks did A got more than B?
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Answer : 2. "25%"
Q: If the diameter of a wire is decreased by 10% by how much per cent (approximately) will the length be increased to keep the volume constant?
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605c569f22ce9764eb4d0d6f- 15%false
- 217 %false
- 320 %false
- 423 %true
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Answer : 4. "23 %"
Q: The hourly wages of a mason have increased by 25%. Since the increase, the number of hours he works daily has reduced by 16%. If he was earning Rs. 120 per day before the increase, how much (in Rs.) is he earning now?
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