Ratio, Proportion, Indices, LogarithmMCQMTP May 19Question 815 of 302
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The ratio compounded of $2:3, 9:4, 5:6\displaystyle and $8:10 is

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option a — $1:1$

All Options:

  • A$1:1$
  • B$1:5$
  • C$3:8$
  • DNone of these

Detailed Solution & Explanation

The compounded ratio of several ratios is found by multiplying them together:
Compounded Ratio=23×94×56×810Compounded Ratio=23\displaystyle \text{Compounded Ratio} = \frac{2}{3} ×\displaystyle \times 94\displaystyle \frac{9}{4} ×\displaystyle \times 56\displaystyle \frac{5}{6} ×\displaystyle \times 810\displaystyle \frac{8}{10}
Grouping terms to simplify calculation:
=(23×94)×(56×810)= \left(23\displaystyle \frac{2}{3} ×\displaystyle \times 94\displaystyle \frac{9}{4}\right) ×\displaystyle \times \left(56\displaystyle \frac{5}{6} ×\displaystyle \times 810\displaystyle \frac{8}{10}\right)
=32×23=1= 32\displaystyle \frac{3}{2} ×\displaystyle \times 23=1\displaystyle \frac{2}{3} = 1
Thus, the compounded ratio is $1 : 1$.

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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