Allied & ICAR Exam Bank • ALLIED_1906 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

P and Q enter into a venture. P contributes 1/3 of the capital for 9 months, and Q receives 2/5 of the total profit. For how many months was Q's money invested?

Options:

  • (A) 3 months
  • (B) 4 months
  • (C) 6 months
  • (D) 5 months

Answer Key:

A

Step-by-Step Solution & Explanation

P's capital is $C/3$ for 9 months; Q's capital is $2C/3$ for $t$ months. Profit ratio $P : Q = 3 : 2$. $(C/3 \times 9) / (2C/3 \times t) = 3 / (2t/3) = 9 / (2t)$. $9 / (2t) = 3 / 2 \implies t = 3$ months.
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