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If 25% of A = 20% of B = 10% of C, find A : B : C.
Question

If 25% of A = 20% of B = 10% of C, find A : B : C.

A.

4 : 5 : 10

B.

10 : 5 : 4

C.

5 : 4 : 10

D.

2 : 3 : 5

Correct option is A

Given:
25% of A = 20% of B = 10% of C
Formula Used:
Percentage=Value100×Number\text{Percentage} = \frac{\text{Value}}{100} \times \text{Number}​​
Solution:
Let 25% of A = 20% of B = 10% of C = x
25100×A=x=>A=100x25=4x 20100×B=x=>B=100x20=5x 10100×C=x=>C=100x10=10x\frac{25}{100} \times A = x \Rightarrow A = \frac{100x}{25} = 4x\\\ \\\frac{20}{100} \times B = x \Rightarrow B = \frac{100x}{20} = 5x\\\ \\\frac{10}{100} \times C = x \Rightarrow C = \frac{100x}{10} = 10x​​
Therefore,
A : B : C = 4x : 5x : 10x = 4 : 5 : 10

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