Question : Two numbers are 90% and 75% less than a third number. By what percentage should the first number be increased so that it becomes equal to the second number?
Option 1: 250
Option 2: 200
Option 3: 150
Option 4: 100
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Correct Answer: 150
Solution :
Given: Two numbers are 90% and 75% less than a third number.
Let the third number be 100.
Now, the first and second numbers are 90% and 75% less than the third number.
So, the first number = (100 – 100 × $\frac{90}{100}$) = 10
The second number = (100 – 100 × $\frac{75}{100}$) = 25
For the first number to be equal to the second number, it should be increased by
($\frac{25–10}{10}$) × 100 = $\frac{15}{10}$ × 100 = 150%
Hence, the correct answer is 150.
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