Percentage Practice Question and Answer
8 Q: If 40% of (A+B) = 60% of (A-B) then $${2A-3B}\over {A+B}$$ is
1785 065424ed827398ecb26d95af5
65424ed827398ecb26d95af5- 1$${7\over 6}$$true
- 2$${6\over 7}$$false
- 3$${5\over 6}$$false
- 4$${6\over 5}$$false
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Answer : 1. "$${7\over 6}$$"
Explanation :
Q: Ajay spends 25% of his salary on house rent, 5% on food grains, 15% on travel and 10% on clothes and saves 27000, what is Ajay's monthly income?
1781 05f7ee1f20a69ab3becbf9364
5f7ee1f20a69ab3becbf9364- 1Rs. 60,000true
- 2Rs.55,000false
- 3Rs. 45,000false
- 4Rs. 70,000false
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Answer : 1. "Rs. 60,000"
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.]
1770 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: 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
1770 05ef56d5df2ebd073795eb908
5ef56d5df2ebd073795eb908- 165 %false
- 260 %false
- 342 %true
- 464 %false
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Answer : 3. "42 % "
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?
1768 0631f34f2b0a2a82fc5667e2d
631f34f2b0a2a82fc5667e2d- 145 kgfalse
- 250 kgtrue
- 355 kgfalse
- 440 kgfalse
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Answer : 2. "50 kg "
Q: Two numbers are respectively 10% and 25% more than a third number. What percent is the first of the second number?
1760 0611f8aa4b381e91a506d10d2
611f8aa4b381e91a506d10d2- 175%false
- 280%false
- 388%true
- 465%false
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Answer : 3. "88%"
Q: 15 litres of a mixture contains alcohol and water in the ratio 1 : 4 , If 3 litres of Water is mixed in it , the percentage of alochol in the new mixture will be :
1757 05ef55393d7fe8173219ba49a
5ef55393d7fe8173219ba49a- 117%false
- 2$$(18{1\over2})\%$$false
- 315%false
- 4$$(16{2\over3})\%$$true
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Answer : 4. "$$(16{2\over3})\%$$"
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?
1752 05ebeb915106f3017d503ebac
5ebeb915106f3017d503ebac- 120false
- 215false
- 316true
- 418false
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