Question
I. 10x² - 11x + 3 = 0 II. 42y² - 23y
– 10 = 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. 10x² - 11x + 3 = 0 10x² - 6 x - 5 x + 3 = 0 2 x (5 x - 3) – 1(5 x - 3) = 0 (2 x – 1)(5 x - 3) = 0 ∴ x = 1/2, 3/5 II. 42y² - 23y – 10 = 0 42y² - 35y + 12 y – 10 = 0 7 y(6 y – 5) + 2(6 y – 5) = 0 (7 y + 2)(6 y – 5) = 0 ∴ y = -2/7, 5/6 Hence, relationship cannot be established between x and y
A certain sum of money is amount to Rs. 62500 in 3 years at 25% per annum compounded annually, what is the sum of money?
A certain sum of money becomes 3 times of itself in 10 years at simple interest. In how many years does it become double of itself at the same rate of s...
Meera took Rs. 3600 at R% S.I. and Rs. 5400 at (R + 4)% S.I. for 3 years. If the total interest amounted to Rs. 3888, find the rate on Rs. 5400.
A sum of Rs. 15,000 is invested in SIP 'J' which offers 6% p.a. simple interest for 8 years. The interest received from SIP 'J' is invested in SIP 'K' w...
Find the difference between True discount and Simple Interest on Rs. 7200 due after 5 years @ 4% per annum.
Sam invested a certain sum in scheme A for 5 years and in scheme B for 3 years, a sum which was double of that invested in scheme A. Both the schemes of...
Rs 2000 are invested at 5% p.a simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs 4000 after
A certain sum is invested at an interest rate of 24% per annum, compounded annually, for 2 years, and the compound interest earned after this period is ...
The difference between simple and compound interest on Rs 2900 at a certain rate in 2 years is Rs 10.44, then what is the annual rate.
A certain sum when invested at compound interest of 12% p.a. amounts to Rs. 6272 in 2 years. Find the amount received when the same sum is invested at 2...
Relevant for Exams:
