Percentage Aptitude Questions Practice Question and Answer
8 Q: A furniture salesman increased the value of furniture by 20 percent due to the lure of more income, which led to a decrease of 30 percent in his sales, then tell him what percentage was reduced in his income?
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Answer : 1. "16 %"
Q: A seller uses 920 gm in place of one kg to sell his goods. When he sells his articles at 15% gain on cost price, the actual percentage of profit is :
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Answer : 3. "25"
Q: The length of a rectangle is increased by 60% then by how much % should the breadth be reduced so that its area does not change?
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6082d43fbfeec334bc89ff8c- 127.5%false
- 237.5%true
- 325%false
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Answer : 2. "37.5%"
Q: The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs.53071.20, the purchase price of the machine was:
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- 2Rs.69680false
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Answer : 1. "Rs.72800"
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.
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- 22,33,280true
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- 42,12,890false
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Answer : 2. "2,33,280"
Q: A student multiplies a number by 5/3 instead of 3/5. What is the percentage error in the calculation?
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Answer : 4. "64 %"
Q: If the length of a rectangle is increased by 10% and the area is unchanged, then how much percent does the breadth decrease?
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Answer : 1. "
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.