Question : There is a ratio of 5 : 4 between the two numbers. If 40 percent of the first number is 12, then 50% of the second number is:
Option 1: 12
Option 2: 24
Option 3: 18
Option 4: 20
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Correct Answer: 12
Solution :
Given: The ratio of two numbers = 5 : 4
Let the numbers be $5x$ and $4x$.
40% of the first number = 12
So, $\frac{40}{100}\times 5x=12$
$⇒x=6$
$\therefore$ The first number = 5 × 6 = 30
and the second number = 4 × 6 = 24
Thus, 50% of 24 $=\frac{50}{100}\times 24=12$
Hence, the correct answer is 12.
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