Question : Two numbers are 35% and 50% less than a third number. By what percentage must the second number be increased to make it equal to the first number?
Option 1: 23.08%
Option 2: 15%
Option 3: 25%
Option 4: 30%
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Correct Answer: 30%
Solution : Let the third number be 100. Then, the first number is 65 and the second number is 50. So, the required percentage = $\frac{65–50}{50}$ × 100 = $\frac{15}{50}$ × 100 = 30% Hence, the correct answer is 30%.
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Question : A number is first increased by 16% and then increased by 20%. The number so obtained has now decreased by 40%. The net decrease percentage in the original number is:
Option 1: $16 \frac{12}{25}$%
Option 2: $15 \frac{9}{25}$%
Option 3: $11 \frac{13}{25}$%
Option 4: $13 \frac{7}{25}$%
Question : The ratio of three numbers is 6 : 5 : 9. If 20% of the first number is 30, then what would be 50% of the difference between the third and second numbers?
Option 1: 40
Option 2: 50
Option 3: 30
Option 4: 45
Question : The sum of the two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is:
Option 1: 280
Option 2: 210
Option 3: 240
Option 4: 300
Question : If a number is increased by 25% and the resulting number is decreased by 25%, then the percentage increase or decrease finally is:
Option 1: no change
Option 2: decreased by $6\tfrac{1}{4}$%
Option 3: increased by $6\tfrac{1}{4}$%
Option 4: increased by $6$%
Question : Six numbers are arranged in decreasing order. The average of the first five numbers is 30, and the average of the last five numbers is 25. The difference between the first and last numbers is:
Option 1: 20
Option 2: 25
Option 3: 5
Option 4: 30
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