Question : Two numbers are 50% and 80% less than the third number. By what percentage should the second number be enhanced to make it equal to the first number?
Option 1: 150%
Option 2: 60%
Option 3: 30%
Option 4: 37.5%
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Correct Answer: 150%
Solution : Let the third number be 100$x$. Then, the first number = 50% less than 100$x$ = 50$x$ The second number = 80% less than 100$x$ = 20$x$ So, the required percentage change = $\frac{\text{ first number – second number}}{\text{second number}} × 100$% = $\frac{50x-20x}{20x}$ × 100% = 150% Hence, the correct answer is 150%.
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Question : A number is decreased by 20% to get another number. The number so obtained is increased by 200% to get a third number. The difference between the third number and the original number is what percentage more or less than the difference between the second and the third
Question : Three numbers are in the ratio 5 : 7 : 12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is:
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Question : The product of two two-digit numbers is 2160, and their HCF is 12. The numbers are:
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