Ratio, Proportion, Indices, LogarithmMCQMTP May 19 Series IIQuestion 817 of 305
All Questions

If x:y:z=2:3:5\displaystyle x:y:z = 2:3:5 if x+y+z=60\displaystyle x+y+z = 60, then the value of z\displaystyle z

Options

A30\displaystyle 30
B15\displaystyle 15
C9\displaystyle 9
D12\displaystyle 12
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Correct Answer

Option a30\displaystyle 30

All Options:

  • A30\displaystyle 30
  • B15\displaystyle 15
  • C9\displaystyle 9
  • D12\displaystyle 12

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Detailed Solution & Explanation

Let x=2k\displaystyle x = 2k, y=3k\displaystyle y = 3k, and z=5k\displaystyle z = 5k.
We are given that the sum of these variables is 60\displaystyle 60:
x+y+z=60x + y + z = 60
2k+3k+5k=602k + 3k + 5k = 60
10k=60    k=610k = 60 \implies k = 6
The value of z\displaystyle z is:
z=5k=5(6)=30z = 5k = 5(6) = 30

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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