Question: A man's age is 125% of what it was 10 years ago, but 83 1/3 % of what it will be after 10 years. What is his present age?

1. 40
2. 45
3. 50
4. 60

Correct Answer: C
Solution and Explanation:
Approach Solution 1:
Let us assume that man's present age = x
If the man's present age is x, the man's age 10 YEARS ago = x-10
Similarly, the man's age in 10 YEARS = x+10
Now, according to the statement, we have been given that the present age of the man is 125% of what it was 10 years ago.
Mathematically, x = 125% of (x - 10)
After Solving the equation, it can be rewritten as; x = 5/4(x - 10)
Multiply both sides of the equation with 4.
We get, 4x = 5(x - 10)
Now, multiplying the term 5, outside the bracket on the Right Hand Side equation, with the terms inside the bracket.
We get, 4x= 5x - 50
Arranging, 5x-4x= 50
Therefore, we get, x = 50
Hence, the man's present age is 50 years.
So, we find out that the correct answer is option C.

Approach Solution 2:
Let x = the man's PRESENT age
So, x - 10 = the man's age 10 YEARS ago
And x + 10 = the man's age IN 10 YEARS

A man's age is 125% of what it was 10 years ago
In other words: x = 125% of (x - 10)
Rewrite as: x = 5/4(x - 10)
Multiply both sides of the equation by 4 to get: 4x = 5(x - 10)
Expand the right side: 4x = 5x - 50
Solve: x = 50

Approach Solution 3:
Let the present age be X
10 years back (X-10)
10 years forward (X+10)
ATQ,
(X-10)*125/100=(X+10)*83 1/3/100
X = 50

“A man's age is 125% of what it was 10 years ago, but 83 1/3 %”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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