If 4x + 1/5x = 4, then find value of 125x³ + 1/64x³
4x + 1/5x = 4 By multiplying 5/4 , 4x × 5/4 + 1/5x × 5/4 = 4 × 5/4 5x + 1/4x = 5 on cubing both the sides (5x+1/4x)3= (5)³ 125x³ + 1/64x³ + 3 × 5x × 1/4x (5x+1/4x) = 125 125x³ + 1/64x³ + (3×5)/4 × 5 = 125 125x³ + 1/64x³ + 75/4 = 125 125x³ + 1/64x³ = 125 - 75/4 125x³ + 1/64x³ = (500-75)/4 125x³ + 1/64x³ = 425/4
Raghav placed an amount of Rs. 'x' in an account with an annual compound interest rate of R%. After 3 years, the compounded annual amount is Rs.12167. A...
Invest Rs. (3x + 150) at 12% per annum to earn Rs. 1080 after 3 years. Find the interest earned when Rs. (2x - 50) is invested at the same interest rate...
The difference between compound interest and simple interest at rate of 22% per annum for 2 years is Rs. 484. Find the simple interest obtained on same ...
Raman paid Rs.9,600 in interest on a loan she obtained 5 years ago with a simple interest rate of 16%. What was the amount of the loan she had taken?
A sum is lent on compound interest for 2 years at 11% p.a. If the compound interest on the sum is Rs.3713.6, find the sum.
The interest earned on investing Rs. 'P' for 5 years at simple interest of 10% p.a. is Rs. 500 more than the interest earned on investing Rs. (P - 1,500...
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 ?
Akshay invested Rs. 1560 in two schemes P and Q in the respective ratio of 9:4. Scheme P and Q are offering simple interest at the rate of 10% per annum...
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.2000 after 4 years. If the same amount is investe...
Shankar borrowed Rs. 7,200 at simple interest and repaid an amount of Rs. 9,504 after 7 years. If the interest rate p.a charged for first 4 years was 5%...