Question : A person deposited Rs. 500 for 4 years and Rs. 600 for 3 years at the same rate of simple interest in a bank. Altogether he received Rs. 190 as interest. The rate of simple interest per annum was:
Option 1: 4%
Option 2: 5%
Option 3: 2%
Option 4: 3%
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Correct Answer: 5%
Solution : The formula for simple interest is $SI=\frac{P×R×T}{100}$, where $SI$ is the interest, $P$ is the principal amount, $R$ is the rate of interest, and $T$ is the time in years. Given that a person deposited Rs. 500 for 4 years and Rs. 600 for 3 years and received Rs. 190 as interest altogether. So, $\frac{500×4×R}{100}+\frac{600×3×R}{100}=190$ $⇒20R+18R=190$ $⇒38R=190$ $⇒R=5$% Hence, the correct answer is 5%.
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Question : A person lends a certain sum of money at the rate of 6% per annum on simple interest and the interest received in 13 years is Rs. 220 less than the sum lent. What is the sum lent?
Option 1: Rs. 1000
Option 2: Rs. 600
Option 3: Rs. 800
Option 4: Rs. 1200
Question : Rohan borrows a certain sum at simple interest. The rate of interest is 3 percent per annum for the first 3 years, 4 percent per annum for the next 5 years, and 6 percent per annum for the next 7 years. If he paid Rs. 2485 as interest, then what is the sum borrowed?
Option 1: Rs. 2500
Option 2: Rs. 3500
Option 3: Rs. 4000
Option 4: Rs. 3600
Question : The simple interest on a sum for 5 years is Rs. 7,590. The rate of interest for the first 3 years is 6 percent per annum and for the next 2 years is 14 percent per annum. What is the sum?
Option 1: Rs. 17,000
Option 2: Rs. 15,000
Option 3: Rs. 14,000
Option 4: Rs. 16,500
Question : A sum of Rs. 600 becomes Rs. 840 at simple interest in 4 years. In how many years will the sum of Rs. 1500 amount to Rs. 2100 at the same rate of simple interest?
Option 1: 5 years
Option 2: 4 years
Option 3: 2 years
Option 4: 3 years
Question : At what rate of compound interest (compounding annually) per annum will a sum of Rs. 250000 becomes Rs. 275625 in 2 years?
Option 1: 8% per annum
Option 2: 3% per annum
Option 3: 10% per annum
Option 4: 5% per annum
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