If \(\rm \frac{a}{2}=\frac{b}{3}=\frac{c}{5}\), what is the value of \(\rm \frac{a+b+c}{c}\)?

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  1. 12
  2. 2
  3. 28
  4. 4

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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Given:

a/2 = b/3 = c/5

Formula used:

Let k = a/2 = b/3 = c/5

Then, a = 2k, b = 3k, c = 5k

Calculation:

(a + b + c) / c = (2k + 3k + 5k) / 5k

⇒ 10k / 5k

⇒ 2

∴ The correct answer is option (2).

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