Question
'K' distributed his investments among two distinct
funds, Mutual Fund X and Mutual Fund Y, in the respective ratio of 9:8. While Mutual Fund X generates simple interest, Mutual Fund Y yields compound interest, compounded annually, both at a 20% annual rate for a duration of two years. Afterward, the cumulative interest accrued amounts to Rs. 3560. Calculate the total sum that 'K' initially invested?Solution
ATQ, Let the sum invested at simple interest be Rs. 9p And, the sum invested at compound interest be Rs. 8p According to the question, (9p × 20 × 2)/100 + 8p(1 + 0.2)^2 – 8p = 3560 Or, 18p/5 + 3.52p = 3560 Or, 35.6p = 17800 Or, p = 17800/35.6 = Rs.500 Therefore, total sum invested by 'K' = 9p + 8p = 17p = Rs.8500
If a + b + c = 12 and ab + bc + ca = 47, and a, b, c are real numbers, find the value of a³ + b³ + c³ − 3abc.
If a + `1/b` = 1 and b + `1/c` =1 , then the value of c + `1/a` is
A sum of Rs. 25,000 is invested in SIP 'G' which offers 7% p.a. simple interest for 7 years. The interest received from SIP 'G' is invested in SIP 'H' w...
If
= 2 then find In a best-of-two chess match between Player X and Player Y, the probability that Player X wins a game is (5/9), and the probability that Player Y loses ...
If 10x2 – 6xy+y² – 4x+4= 0, then find the value of (3x+2y).
If x 2  – 15x + 51 = 0, then determine the value of (x – 5) + {1/(x – 5)}.
For a =-4 and b = 5, value of a² – b² is:
Relevant for Exams:
