Question
Meera had Rs. 3500 with her. She invested Rs. ‘c’ at
14% p.a. simple interest for 6 years and the remaining sum at 20% p.a. compound interest, compounded annually for 2 years. If the total interest received by her is Rs. 2300, then find the value of ‘c’.Solution
ATQ, Simple interest received by Meera = (c × 14 × 6)/100 = Rs. 0.84c Compound interest received by Meera = (3500 – c)(1 + 20/100)² – (3500 – c) = Rs. 1.44(3500 – c) - (3500 - c) = Rs. 0.44(3500 - c) According to the question, 0.84c + 0.44(3500 – c) = 2300 Or, 0.84c + 1540 - 0.44c = 2300 Or, 0.4c = 2300 - 1540 Or, 0.4c = 760 Or, c = 760 / 0.4 = 1900
If x and y satisfy x² + y² = 25 and x + y = 7, find xy.
I. x2 + 13x + 42 = 0
II. y² + 13y + 40 = 0
Solve: x² − 7x + 12 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 6x2 - 41x+13=0
II. 2y2 - 19y+42=0
Equation 1: x² - 200x + 9600 = 0
Equation 2: y² - 190y + 9025 = 0
The roots of the equations x2 + 16x + 63 = 0
I. 3p² + 13p + 14 = 0
II. 8q² + 26q + 21 = 0
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. √(17x) + √51 = 0  Â
II. √(4y) + 3 = 0
Relevant for Exams:
