Question : A sum becomes Rs. 1,352 in 2 years at 4% per annum compound interest. The sum is:
Option 1: Rs. 1,225
Option 2: Rs. 1,270
Option 3: Rs. 1,245
Option 4: Rs. 1,250
Correct Answer: Rs. 1,250
Solution : Total amount = Principal + Compound interest = Rs. 1,352 Rate = 4% Time = 2 years Let $P$ be the principal. We know, $\text{Total amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒ 1352 = P(1+\frac{4}{100})^{2}$ $⇒ 1352 = P(\frac{26}{25})^{2}$ $\therefore P = \frac{1352×25×25}{26×26}= 1250$ Hence, the correct answer is Rs. 1,250.
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Question : On a certain sum, the difference between compound interest and simple interest at 10% per annum for 2 years is Rs.250. The sum is _________.
Option 1: Rs.25,450
Option 2: Rs.26,550
Option 3: Rs.25,000
Option 4: Rs.26,000
Question : Find the difference between compound interest and simple interest when a sum of Rs. 15,625 is invested for 3 years at 4% per annum.
Option 1: Rs. 76
Option 2: Rs. 96
Option 3: Rs. 56
Option 4: Rs. 86
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 1: 5%
Option 2: 3%
Option 3: 4%
Option 4: 6%
Question : A sum becomes Rs. 7,436 in two years when interest is compounded annually at the rate of 4% per annum. What was the sum?
Option 1: Rs. 7,075
Option 2: Rs. 6,275
Option 3: Rs. 6,575
Option 4: Rs. 6,875
Question : The compound interest of Rs. 30,000 at 7% per annum for a certain time is Rs. 4,347. The time is:
Option 1: 3 years
Option 2: 4 years
Option 3: 2 years
Option 4: 2.5 years
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