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If p ∶ q = 1 ∶ 5, then find the value of (9q + 6p)/(3q - 5p)

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If p ∶ q = 1 ∶ 5, then find the value of (9q + 6p)/(3q - 5p)
1. 21/10
2. 31/10
3. 51/10
4. 41/10
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Correct Answer - Option 3 : 51/10

(9q + 6p)/(3q - 5p)

⇒ (9 + 6p/q)/(3 - 5p/q)

⇒ (9 + 6 × 1/5)/(3 - 5 × 1/5)

⇒ [(45 + 6)/5)/[(15 - 5/5)]

⇒ (51/5)/2

⇒ 51/10

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