Ratio, Proportion, Indices, LogarithmMCQPYQ July 21Question 799 of 302
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A vessel contained a solution of acid and water in which water was $64\%\displaystyle . Four liters of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains $30\% acid, the quantity (in liters) of the solution, in the beginning in the vessel, was

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

✅ Option c — $24$

All Options:

  • A$12$
  • B$36$
  • C$24$
  • D2\displaystyle 2

Detailed Solution & Explanation

Let the initial quantity of the solution in the vessel be V\displaystyle V liters.
The initial water concentration is $64\%\displaystyle , meaning the acid concentration is $100\% - 64\% = 36\%.
When 4\displaystyle 4 liters of the solution are removed, the remaining volume is V−4\displaystyle V - 4 liters, which still contains $36\%acid.<br>Theamountofacidremainsunchangedwhen\displaystyle acid.<br>The amount of acid remains unchanged when4\displaystyle liters of pure water are added to the mixture.<br>The new acid concentration is &#36;30\% in the final volume of V\displaystyle V liters:
Acid in remaining solution=Acid in final solution\displaystyle \text{Acid in remaining solution} = \text{Acid in final solution}
36%×(V−4)=30%×V36\% ×\displaystyle \times (V - 4) = 30\% ×\displaystyle \times V
0.36(V−4)=0.30V0.36(V - 4) = 0.30V
0.36V−1.44=0.30V0.36V - 1.44 = 0.30V
0.06V=1.44  ⟹  V=24 liters0.06V = 1.44 \implies V = 24  liters\displaystyle \text{ liters}

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.

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Exam Strategy Tip

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

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