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DIRECTIONS: In the following questions the first word is related to the second in the same way as the third word is related to the fourth. In the given problems either the third or the fourth word is missing and is left blank. You have to choose the correct word to fill in the blank.
Q. The difference between a number and its two-fifth is 510.What is 10% of that number?
  • a)
    12.75
  • b)
    85
  • c)
    204
  • d)
    None
Correct answer is option 'B'. Can you explain this answer?
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DIRECTIONS: In the following questions the first word is related to th...
Let the number = x
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DIRECTIONS: In the following questions the first word is related to th...
The Problem Statement
The problem states that the difference between a number and its two-fifth is 510. We need to find 10% of that number.
Step-by-Step Solution
1. Define the Number:
Let the unknown number be represented as 'x'.
2. Set Up the Equation:
According to the problem, the difference can be expressed as:
x - (2/5)x = 510
3. Simplify the Equation:
This simplifies to:
(3/5)x = 510
4. Solve for x:
To find x, multiply both sides by (5/3):
x = 510 * (5/3) = 850
5. Calculate 10% of x:
Now, to find 10% of the number:
10% of x = 10/100 * 850 = 85
Conclusion
The value of 10% of the number is 85. Therefore, the correct answer is option 'B'.
Key Takeaways
- The initial equation set up was essential to solving the problem.
- Simplifying and rearranging the equation allowed us to isolate the variable.
- Calculating percentages is straightforward once the base number is found.
This methodical approach confirms that the answer is indeed option 'B', which is 85.
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DIRECTIONS: In the following questions the first word is related to the second in the same way as the third word is related to the fourth. In the given problems either the third or the fourth word is missing and is left blank. You have to choose the correct word to fill in the blank.Q. The difference between a number and its two-fifth is 510.What is 10% of that number?a)12.75b)85c)204d)NoneCorrect answer is option 'B'. Can you explain this answer?
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