Question : A sum of Rs. 8,000 will amount to Rs. 8,820 in 2 years if the interest is calculated every year. The rate of compound interest is:
Option 1: 6%
Option 2: 7%
Option 3: 3%
Option 4: 5%
Correct Answer: 5%
Solution : Sum = Rs. 8,000 Total amount = Rs. 8,820 Time = 2 years Let $R$ be the rate. We know, $\text{Total amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒ 8820 = 8000(1+\frac{R}{100})^{2}$ $⇒ \frac{441}{400} = (1+\frac{R}{100})^{2}$ Taking square root on both sides, $⇒ \frac{21}{20}=1+\frac{R}{100}$ $\therefore R = 5\%$ Hence, the correct answer is 5%.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The simple interest on a sum of money for 3 years is Rs. 240 and the compound interest on the same sum at the same rate for 2 years is Rs. 170. The rate of interest is:
Option 1: $8$%
Option 2: $29\frac{1}{6}$%
Option 3: $12\frac{1}{2}$%
Option 4: $5\frac{5}{17}$%
Question : A sum of Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will the same sum become in 3 years?
Option 1: Rs. 1025
Option 2: Rs. 1042
Option 3: Rs. 1052
Option 4: Rs. 1024
Question : A certain amount of money earns Rs. 540 as a simple interest in 3 years. If it earns a compound interest of Rs. 376.20 at the same rate of interest in 2 years, find the amount (in Rs.):
Option 1: Rs. 1600
Option 2: Rs. 1800
Option 3: Rs. 2000
Option 4: Rs. 2100
Question : At what percentage rate, compound interest compounded annually for a sum of Rs. 40,000, will amount to Rs. 44,100 in two years?
Option 1: 5%
Option 2: 2%
Option 3: 4%
Option 4: 7.5%
Question : A sum of money amounts to INR 1,200 in 2 years and becomes INR 1,260 in 3 years at compound interest when interest is compounded annually. What is the rate of compound interest per annum?
Option 2: 3%
Option 4: 6%
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile