It is given that P : Q is 21 : 25. Find the value of (7P + 2Q) : (7P

It is given that P : Q is 21 : 25. Find the value of (7P + 2Q) : (7P – 2Q).

A 197/97

B 203/103

C 187/87

D 167/67

E 123/23

Correct Answer: Option A

We know, P : Q = 21 : 25

To get value of (7P + 2Q) : (7P – 2Q), we can apply componendo-dividendo.

This gives (7P + 2Q) : (7P – 2Q) = (7 × 21 + 2 × 25) / (7 × 21 - 2 × 25) = 197/97.