If 30% of A = 0.25 of B = \(\frac{1}{5}\) of C, then find the ratio A : B : C

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TNPSC Group 1 Services Prelims 2015 Official Paper
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  1. 15 : 12 : 10
  2. 12 : 15 : 10
  3. 10 : 12 : 15
  4. 10 : 15 : 12

Answer (Detailed Solution Below)

Option 3 : 10 : 12 : 15
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Detailed Solution

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Given:

30% of A = 0.25 of B = (1/5) of C

Formula used:

Let 30% of A = 0.25 of B = (1/5) of C = k

Then, A = k / 0.3, B = k / 0.25, and C = k / (1/5)

Calculation:

Let k = 1

A = 1 / 0.3 = 10 / 3

B = 1 / 0.25 = 4

C = 1 / (1/5) = 5

Now, find the ratio A : B : C

⇒ (10/3) : 4 : 5

⇒ 10 : 12 : 15

∴ The correct answer is option 3.

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