7sin²ϕ + 3cos² ϕ= 4sin² ϕ+ 3sin² ϕ +3cos² ϕ = 4 4sin² ϕ+ 3(sin2 ϕ + cos2ϕ) = 4 4sin²ϕ+ 3 (1) = 4 4sin²ϕ + 4 - 3 = 1 4sin²ϕ = 1 sin²ϕ= 1/4 sin ϕ = 1/2 sin30° = 1/2 Hence, ϕ = 30
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, compo...
A certain amount of money at simple interest amounts to ₹1,404 in 2 years and to ₹1,560 in 5 years. What is the rate of simple interest per annum an...
Yeshudas borrowed a certain amount from a Bank at an interest rate of 2.5% p.a. and after 4 years , he repaid a total amount of 46,200 to the Bank. How ...
A certain sum is invested at a simple interest rate of 10% per annum for a certain period. If the sum becomes five times the principal at the end of the...
A man deposited Rs. 12000 at 10% compound interest, compounded annually while Rs. 10500 at 13% simple interest per annum. What will be the difference be...
What will be the simple interest on Rs. 6,20,000 from March 30, 2011 to November 04, 2011 at 12 % p.a?
The amount of a certain sum in 3 years at simple interest at x % p.a. is ₹5,472 and the amount of the same sum in 7(1/2) years at the same rate, at si...
Rohit invested a certain amount at a simple interest rate of r% per annum, which increased to 180% of the original amount over 5 years. If Rs. 2500 is...
A sum invested at compound interest of 'r%' p.a., compounded annually amounts to Rs. 750 at the end of second year and Rs. 900 at the end of 3rd
An initial investment made at a 25% annual interest rate, compounded semi-annually, grows to Rs. 10,125 after one year. How much simple interest would t...
