To get the ratio p : q (for p is not equ

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

To get the ratio p : q (for p is not equal to q) one has to add a number to each term of the ratio x : y, then the number is:

Options:

\(\frac{px+qy}{p-q}\)

\(\frac{qx-py}{p-q}\)

\(\frac{px-qy}{p-q}\)

\(\frac{px+qx}{p-q}\)

Correct Answer:

\(\frac{qx-py}{p-q}\)

Explanation:

\(\frac{x + r}{y + r}\) = \(\frac{p}{q}\)

⇒ q(x + r) = p(y +r)

⇒ qx + qr = py + pr

⇒ qr - pr = py - qx

⇒ r(q - p) = py - qx

⇒ r = \(\frac{py - qx}{q - p}\)