In what proportion would Raj, Karan and Altaf distribute profit among them? I.…
2023
In what proportion would Raj, Karan and Altaf distribute profit among them?
I. Raj gets two - fifth of the profit.
II. Karan and Altaf have made 75% of the total investment.
- A.
Only I follows
- B.
Only II follows
- C.
Both I and II follows
- D.
None follows
Attempted by 6 students.
Show answer & explanation
Correct answer: D
Conclusion: None of the statements suffices to determine the three-way profit proportion.
Analysis of the statement that Raj gets two-fifths of the profit:
Raj's share = 2/5 = 40%. The remaining 3/5 (60%) must be split between Karan and Altaf, but there is no information about their relative shares or investments. Therefore this statement alone does not determine the full ratio among Raj, Karan and Altaf.
Analysis of the statement that Karan and Altaf made 75% of the total investment:
Karan + Altaf = 75% of investment, so Raj = 25% of investment. If profits are shared in direct proportion to investment, Raj's profit share would be 25% (1/4). However, this does not give the split between Karan and Altaf within their combined 75%. Thus this statement alone is also insufficient.
Combined consideration of both statements:
The second statement implies Raj's share should be 25% of profit, while the first states Raj gets 40% of profit. These two assertions contradict each other, so they cannot jointly define a consistent distribution. Therefore the statements together do not yield a valid three-way proportion.
Final answer: None of the statements suffices to determine the profit proportions.