Question
sum invested at a certain rate of compound interest,
compounded annually amounts to Rs.12,240 after 2 years and amounts to Rs. 17,625.6 after 4 years. If 60% of the sum is invested in the simple interest of 7p.a 10 years, then find the simple interest earned.Solution
Let the sum invested = Rs. 'K' Let the rate of interest = 'y'% p.a. Then, according to the question K X {1 + (y/100)} ² = 12,240 ....... (I) And K X {1 + (y/100)} ⁴ = 17625.6 ........ (II) On dividing equation (I) from equation (II), we have. {1 + (y/100)} ² = 1.44 Or, 1 + (y/100) = 1.2 Or (y/100) = 0.2 So, y = 20 Therefore, sum invested = 12240 ÷ {(100 +20)/100} ² = 12240 ÷ 1.44 = Rs. 8,500 so, sum invest at simple interest= 8500×60/100=5100 so simple interest earned =5100×7×10/100=3570rs
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
In which of the following expressions does the expression ‘L > B’ and ‘R < N’ is true?
Statements: V ≥ O ≥ S = A > J, M < Y = P ≤ O > R
Conclusion:
I. O > M
II. A ≥ M
III. V > R
Statements: A > B ≥ C ≤ D; E ≥ F ≥ G = A
Conclusion:
I. E > D
II. D ≥ E
Statements: N < G ≥ F > E ≥ D, D = O ≥ I > P
Conclusions:
I. D < G
II. N > I
III. P < E
- Statements: F > G ≥ H = I < J = K ≤ L ≤ M = N
Conclusions:
I. M > J
II. G ≥ N
III. J = M In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
In which of these expression ‘X ≤ B’ is definitely true?
Statement: I ≤ S, S < X, X = F, F ≤ K
Conclusion: I. K > I II. I < X