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The difference between 42% and 23% of a number is 304. What is 72% of that number?
- a)1650
- b)1536
- c)1265
- d)1152
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The difference between 42% and 23% of a number is 304. What is 72% of...
Understanding the Problem
To find 72% of a number based on the given information, we start by defining the unknown number as 'x'. The problem states that the difference between 42% of this number and 23% of the same number equals 304.
Setting Up the Equation
We can express this mathematically:
- 42% of x = 0.42x
- 23% of x = 0.23x
The difference between these two percentages can be set up as:
0.42x - 0.23x = 304
Simplifying the Equation
Now, simplify the left side:
- 0.42x - 0.23x = 0.19x
Thus, the equation becomes:
0.19x = 304
Finding the Value of x
To find 'x', divide both sides by 0.19:
x = 304 / 0.19
Calculating this gives:
x = 1600
Calculating 72% of x
Now, we need to find 72% of the number:
- 72% of x = 0.72 * 1600
Calculating this:
0.72 * 1600 = 1152
Conclusion
Therefore, 72% of the number is 1152, which corresponds to option 'D'.
To find 72% of a number based on the given information, we start by defining the unknown number as 'x'. The problem states that the difference between 42% of this number and 23% of the same number equals 304.
Setting Up the Equation
We can express this mathematically:
- 42% of x = 0.42x
- 23% of x = 0.23x
The difference between these two percentages can be set up as:
0.42x - 0.23x = 304
Simplifying the Equation
Now, simplify the left side:
- 0.42x - 0.23x = 0.19x
Thus, the equation becomes:
0.19x = 304
Finding the Value of x
To find 'x', divide both sides by 0.19:
x = 304 / 0.19
Calculating this gives:
x = 1600
Calculating 72% of x
Now, we need to find 72% of the number:
- 72% of x = 0.72 * 1600
Calculating this:
0.72 * 1600 = 1152
Conclusion
Therefore, 72% of the number is 1152, which corresponds to option 'D'.
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Community Answer
The difference between 42% and 23% of a number is 304. What is 72% of...
Let the number be 100x.
∴ 42x - 23x = 304
=> 19x = 304
=> x = 16
∴ The number is 100 x 16 = 1600.
=> 72% of the number = 0.72 x 1600 = 1152
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The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer?.
The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer? for Railways 2025 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between 42% and 23% of a number is 304. What is 72% of that number?a)1650b)1536c)1265d)1152Correct answer is option 'D'. Can you explain this answer?.
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