Question : If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places).
Option 1: 40.45%
Option 2: 41.25%
Option 3: 43.12%
Option 4: 44.76%
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Correct Answer: 44.76%
Solution : Given: The price of petrol has increased by 81%. Let the initial price of petrol be Rs.100/litre and the petrol consumption be 100 litres. Now, increased price of petrol = 181% of 100 = Rs.181/litre New consumption of petrol = $\frac{100×100}{181}$ = 55.24 litres Percentage decrease in consumption = $\frac{(100–55.24)}{100}×100$ = 44.76% Hence, the correct answer is 44.76%.
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Question : If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to 2 decimal places)
Option 1: 12.35%
Option 2: 21.88%
Option 3: 20.25%
Option 4: 25.75%
Question : If the price of petrol increased by 7%, then by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?
Option 1: $6 \frac{58}{107} \%$
Option 2: $5 \frac{11}{107} \%$
Option 3: $3 \frac{49}{107} \%$
Option 4: $4 \frac{99}{107} \%$
Question : If the radius of a right circular cylinder open at both ends is decreased by 25% and the height of the cylinder is increased by 25%, the curved surface area of the cylinder thus formed:
Option 1: remains unaltered
Option 2: is increased by $25\%$
Option 3: is increased by $6.25\%$
Option 4: is decreased by $6.25\%$
Question : If the price of salt decreases by 20%, then by what percentage should consumption be increased to keep the expenditure same?
Option 1: 26%
Option 2: 27%
Option 3: 25%
Option 4: 24%
Question : If the cost price is 72% of the selling price, then what is the percentage of profit? (Correct to 2 decimal places)
Option 1: 38.89%
Option 2: 35.75%
Option 3: 32.25%
Option 4: 28.75%
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