Question
R' invested some money at a compound interest rate of
40% p.a., compounded quarterly. If after 9 months, he received an amount of Rs. 1,99,650, then the sum invested by 'R' is equal to: I. The interest received when Rs. 1,25,000 is invested at S.I of 30% p.a. for 4 years. II. The C.P of an item sold for Rs. 2,40,000 at a profit of 40%. III. The difference between the savings of 'Pawan' and 'Qureshi', whose incomes are Rs. (a + 406320) and Rs. (a + 156320), given that each spends 40% of their respective incomes.Solution
ATQ, Effective rate of interest = 40 ÷ 4 = 10% p.a. And effective time period = (9/12) × 4 = 3 terms We know that for compound interest, Amount = Sum × {1 + (rate of interest/100)} time period Let the sum invested be Rs. 'S' So, 199650 = S X {1 + (10/100)} ³ Or, 199650 = S X (1.1) ³ Or, 199650 = 1.331S So, S = 1,50,000 Therefore, sum invested = Rs. 1,50,000 For I: Interest received = (125000 × 0.3 × 4) = Rs. 1,50,000 Therefore, statement I is true. For II: CP of the item = (240000/1.4) = Rs. 171428.57 Therefore, statement II is false. For III: Difference between savings of 'Pawan' and 'Qureshi' = 0.6 × (a + 406320) - 0.6 × (a + 156320) = 0.6 × (406320 - 156320) = 0.6 × 250000 = Rs. 1,50,000 Therefore, statement III is true.
Statements: P # B, Q $ B, B @ J, J % F
Conclusions: Â Â Â Â Â I. F # BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. F @ BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements: J > K = L ≥ N > M > O ≥ P
Conclusions:
I. K ≥ O
II. J = N
III. P < NStatements: K ≥ L, N = R, L ≥ R, Q > C = K
Conclusions: I. R ≤ Q II. C ≥ N
In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statemen...
Statements: B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E
Conclusions:
(i) I > F
(ii) B ≤ H
(iii) A ≤ E
(iv) E > F
Statements: B > C, D > E, C = F, A ≥ F, D = A
Conclusion:
I. B ≥ E
II. E > B
Statement:Â C < P > T = E < R; G > R > A < D
Conclusions:
I. T < G
II. G ≥ P
III. T > A
Statements: T > V > Q > S; L > S > V ≥ O ≤ X < Y
Conclusions:
I. T > L
II. V ≥ Y
III. T > OÂ
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statement:  A = X ≥ W = B < C = O
Conclusions:
I. A ≥ B
II. W < O
III. X > O
IV. C > A
...
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