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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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 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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Answer : 3. "80%"
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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Answer : 2. "22 kg"
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?
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Answer : 1. "80% "
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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- 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: 72 grams is what percent of 3.6 kilograms?
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Answer : 4. "2"
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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- 2Rs.12.50 per kg.false
- 3Rs.12 per kgtrue
- 4Rs.15 per kgfalse
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Answer : 3. "Rs.12 per kg"
Q: There were two candidates in an election, total 7500 votes were cast, 20% of these votes were declared invalid, if one candidate got 55% of the valid votes then how many valid votes did the other candidate get?
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