If P : Q = 8 : 15, Q : R = 5 : 8 and R : S = 4 : 5, then

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If P : Q = 8 : 15, Q : R = 5 : 8 and R : S = 4 : 5, then P : S is equal to

1. 4 : 15
2. 2 : 15
3. 3 : 19
4. 7 : 15
5. None of the above

Correct Option: A

Given, P/Q = 8/15, Q/R = 5/8, R/S = 4/5
∴ P/S = (P/Q) x (Q/R) x (R/S)
⇒ P/S = (8/15) x (5/8) x (4/5) = 4/15
∴ P : S = 4 : 15