Question : One number is 25% of another number. The larger number is 12 more than the smaller one. The larger number is:
Option 1: 48
Option 2: 16
Option 3: 4
Option 4: 12
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Correct Answer: 16
Solution :
Given: One number is 25% of another number. The larger number is 12 more than the smaller one.
Let the larger and the smaller numbers be $x$ and $y$ respectively.
now, $y$ = 25% of $x$
⇒ $y=\frac{x}{4}$
⇒ $x=4y$ .........................................(i)
The larger number is $12$ more than the smaller number.
So, $x = y + 12$ ........................................(ii)
By equating equation (i) and equation (ii),
⇒ $4y = y + 12$
⇒ $y = 4$
From equation (i),
$x = 4y = 4 × 4 = 16$
Hence, the correct answer is 16.
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