Question
Simple interest on a sum of money for 2 years is 1/5th
of the sum, then the interest received in 5 years on same principal will be what time of the principal?Solution
Let the principal be = Rs 100 So simple interest for 2 years = 100 × 1/5 = Rs 20 So interest rate % = 200/(2 ×100)× 100 = 10% Interest received in 5 years = (100 ×10 ×5)/100 = Rs 50 So interest received in 5 years = Rs 50 which is 1/2 of the principal. Alternative method : 2 years interest = 1/5 times of principal 1 year interest = 1/10 times of principal 5 years interest = 1/10 × 5 = 1/2
I. 8x – 3y = 85
II. 4x – 5y = 67
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
I. 3p² - 14p + 15 = 0
II. 15q² - 34q + 15 = 0
I. 3p2 - 11p + 10 = 0
II. 42q2 + q -1 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
Find the coefficient of x³ in (2x − 3)⁶.
I. 49y2 + 35y + 6 = 0
II. 12x2 + 17 x + 6 = 0
I. 6x2 – 7x - 20 = 0
II. 3y2 - y - 14 = 0
