Question
A and B started a business with investments of Rs.
12,800 and Rs. 16,000, respectively. After a few months, C joined them with an investment of Rs. 9,600. At the end of 16 months, the total profit of Rs. 5,400 was distributed, and C received a share of Rs. 1,080. Based on this, determine after how many months C joined the business.Solution
Let the time for which 'C' invest in the business be 'n' months. Ratio of profit shares of 'A', 'B' and 'C' respectively: = (12,800 X 16) :(16,000 X 16) :(9,600 X n) = 64:80:3n So, 3n ÷ (64 + 80 + 3n) = (1,080/5,400) Or, 3n ÷ (144 + 3n) = (1/5) Or, 15n = 144 + 3n Or, 12n = 144 Or, 'n' = 12 Therefore, time after which 'C' joined the business = 16 - 12 = 4 months
Statements: P ≥ Q ≥ R = S, Q ≥ T > U ≥ V
Conclusion:
I. P ≥ V
II. P > V
Statements: Q @ X % Y % W; Y $ O $ B
Conclusions:
I. X % B
II. Q @ W
III. O $ X
...Statements: C > D = E ≥ G; F = G ≥ J < O
Conclusions:
I. D ≥ J
II. J < D
Statement:
J < K ≤ M > O; M > P < Z; Z = R
Conclusion:
I. P < K
II. R > K
In the following questions assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and th...
Statement: F > E = L ≤ V ≤ P = C
Conclusions:
I. C > E
II. E = C
III. F > P
IV. C ≥ E
...Statements : R < O ≤ P < Q; M < L ≤ N > O; S < Q ≤ K
Conclusions:
I. M < K
II. N > R
III. O < S
Statements: N ≥ M ≥ O; U < N; V < O ≤ R
Conclusions:
I. V < N
II. R ≥ N
III. O < U
Statements: E > F = G; H < I = F; J > I
Conclusions: I) J > G
II) E < J
III) H > E
14. Statement: L ≥ X ≤ Z > Y ≤ A, Y = B ≥ C
Conclusion: I. C > A II. A ≥ C
...
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