If p/q = r/s = p-r/q-s , the process is called

Option a: Subtrahendo. Solution: Let us review the properties of ratio and proportion. If we have a ratio of the form: p/q = r/s Then, using the properties of equal ratios: 1. Addendo: If we add the numerators and denominators: p/q = r/s = p+r/q+s 2. Subtrahendo: If we subtract the numerators and denominators: p/q = r/s = p-r/q-s 3. Componendo: p+q/q = r+s/s 4. Dividendo: p-q/q = r-s/s 5. Alternendo: p/r = q/s Since the given equation is p/q = r/s = p-r/q-s , this process is known as Subtrahendo. Hence, Option A is the correct answer.

Ratio, Proportion, Indices, LogarithmMCQPYQ May 19Question 848 of 305

All Questions

If $\displaystyle \frac{p}{q} = \frac{r}{s} = \frac{p-r}{q-s}$ , the process is called

Options

ASubtrahendo

BComponendo

CAlternendo

DNone of these

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Correct Answer

✅ Option a — Subtrahendo

All Options:

ASubtrahendo
BComponendo
CAlternendo
DNone of these

Detailed Solution & Explanation

Let us review the properties of ratio and proportion.
If we have a ratio of the form:

\frac{p}{q} = \frac{r}{s}

Then, using the properties of equal ratios:
1. **Addendo**: If we add the numerators and denominators:

\frac{p}{q} = \frac{r}{s} = \frac{p+r}{q+s}

2. **Subtrahendo**: If we subtract the numerators and denominators:

\frac{p}{q} = \frac{r}{s} = \frac{p-r}{q-s}

3. **Componendo**:

\displaystyle \frac{p+q}{q} = \frac{r+s}{s}

4. **Dividendo**:

\displaystyle \frac{p-q}{q} = \frac{r-s}{s}

5. **Alternendo**:

\displaystyle \frac{p}{r} = \frac{q}{s}

Since the given equation is

\displaystyle \frac{p}{q} = \frac{r}{s} = \frac{p-r}{q-s}

, this process is known as **Subtrahendo**.
Hence, **Option A** is the correct answer.

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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If pq=rs=p−rq−s\displaystyle \frac{p}{q} = \frac{r}{s} = \frac{p-r}{q-s}qp​=sr​=q−sp−r​, the process is called