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If c : d = 9 : 10, then the value of (6c - 7d)/(7c + 8d)
1. 13/143
2. 17/18
3. - 16/143
4. 15/17

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Correct Answer - Option 3 : - 16/143

Given

c : d = 9 : 10

Calculation

(6c - 7d)/(7c + 8d)

⇒ [6(c/d) - 7(d/d)]/[7(c/d) + 8(d/d)]

⇒ [6(9/10) - 7]/[7(9/10) + 8]

⇒ [(54/10) - 7]/[(63/10) + 8]

⇒ [(54 - 70)]/[(63 + 80)/10]

⇒ - 16/143

∴ Value of (6c - 7d)/(7c + 8d) is - 16/143

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