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To get the ratio p : q (for p ≠ q), one has to add a number to each term of the ratio x : y, the number is
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px + qy p − q -
qx − py p − q -
px − qy p − q -
py − qx p − q
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Correct Option: B
Let the number to be added be z.
| ∴ | = | ||
| y + z | q |
⇒ qx + zq = py + zp
⇒ zp – zq = qx – py
⇒ z (p – q) = qx – py
| ⇒ z = | |
| p − q |
