Question
I. 2y2 – 19y + 35 = 0 II.
4x2 – 16x + 15 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 2y2 – 19y + 35 = 0 2y2 – 5y – 14 y + 35 = 0 y (2 y – 5) – 7(2 y – 5) = 0 (2 y – 5)(y – 7) = 0 y = 7, 5/2 II. 4x2 – 16x + 15 = 0 4x2 – 6x – 10 x + 15 = 0 2 x(2 x – 3) – 5(2 x – 3) = 0 (2 x – 3)(2x – 5 )=0 x = 5/2, 3/2 Hence, x ≤y
The simple interest on an amount of Rs. x at an annual rate of 4% for 3 years is Rs. 120 less than the simple interest on an amount of Rs. (x – 800) ...
The simple interest accrued in five years on a principal of Rs. 50,000 is one – tenth of the principal. What is the rate of simple interest p.a.?
Calculate the principal amount 'x' for which the simple interest accrued over 5 years at an annual rate of 24% is equivalent to the compound interest ea...
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.2700 after 3 years. If the same amount is investe...
Atul has Rs.550 with him. He invested 40% of the amount at 5% p.a. for 6 years and rest at 20% p.a. for 5 years. Find the sum of simple interests receiv...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 1700 and Rs...
What sum of money must be given at simple interest for 3 months at 4% per annum in order to earn Rs. 240 interest?
- Nisha placed Rs. 25,000 in plan 'P' and Rs. 40,000 in plan 'Q'. Plan 'P' earns 14% simple interest annually for 2 years, and plan 'Q' earns 9% per annum fo...
The excess of compound interest (annual compounding) over simple interest on a principal for 2 years at 10% p.a. is Rs. 200. Find the principal.
Viraj invested Rs. 3500 at 20% p.a. simple interest for 3 years. After 3 years, he invested the amount received by him at the 20% p.a. compound interest...
Relevant for Exams:
