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The difference between 71% of a number and 58% of the same number is 299. What is 67% of that number?
- a)1608
- b)1407
- c)1541
- d)1474
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The difference between 71% of a number and 58% of the same number is ...
Let the number be 
Again 67% of the number = 
Most Upvoted Answer
The difference between 71% of a number and 58% of the same number is ...
To find the solution, we can follow these steps:
Let's assume the number to be 'x'.
Step 1: Calculate the difference between 71% of the number and 58% of the number
- 71% of x can be calculated as (71/100)*x = 0.71x
- 58% of x can be calculated as (58/100)*x = 0.58x
The difference between these two values is given as 299:
0.71x - 0.58x = 299
Step 2: Simplify the equation
0.13x = 299
x = 299/0.13
x ≈ 2300
So, the number is approximately 2300.
Step 3: Calculate 67% of the number
- 67% of x can be calculated as (67/100)*x = 0.67x
Substituting the value of x as 2300:
0.67 * 2300 ≈ 1541
Therefore, 67% of the number is approximately 1541.
So, the correct answer is option C) 1541.
Let's assume the number to be 'x'.
Step 1: Calculate the difference between 71% of the number and 58% of the number
- 71% of x can be calculated as (71/100)*x = 0.71x
- 58% of x can be calculated as (58/100)*x = 0.58x
The difference between these two values is given as 299:
0.71x - 0.58x = 299
Step 2: Simplify the equation
0.13x = 299
x = 299/0.13
x ≈ 2300
So, the number is approximately 2300.
Step 3: Calculate 67% of the number
- 67% of x can be calculated as (67/100)*x = 0.67x
Substituting the value of x as 2300:
0.67 * 2300 ≈ 1541
Therefore, 67% of the number is approximately 1541.
So, the correct answer is option C) 1541.
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The difference between 71% of a number and 58% of the same number is ...
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