If 50% of a certain number is equal to \(\frac{3}{4}^{th}\) of another number, what is the ratio between the numbers?
1. 5 : 2
2. 2 : 5
3. 3 : 4
4. 3 : 2
1. 5 : 2
2. 2 : 5
3. 3 : 4
4. 3 : 2
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Correct Answer – Option 4 : 3 : 2
Given:
50% of a certain number is equal to \(\frac{3}{4}^{th}\) of another number.
Calculation:
Let the numbers be x and y.
According to the question:
(50% of x) = [(3/4) × y]
⇒ 50x/100 = 3y/4
⇒ x/2 = 3y/4
⇒ x/y = 3/2
⇒ x : y = 3 : 2
∴ The ratio between the numbers are 3 : 2.