Knowee
Questions
Features
Study Tools

A man borrowed 3125 for C.I. which amounted to4500 in 2 years. What was the rate of interest per annum?(A) 30% (B) 25% (C) 20% (D) 15%

Question

A man borrowed 3125 for C.I. which amounted to4500 in 2 years. What was the rate of interest per annum?(A) 30% (B) 25% (C) 20% (D) 15%

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the rate of interest per annum, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where: A = Final amount (4500) P = Principal amount (3125) r = Rate of interest per annum (unknown) n = Number of times interest is compounded per year (assuming it is compounded annually, n = 1) t = Time in years (2)

Substituting the given values into the formula, we have:

4500 = 3125(1 + r/1)^(1*2)

Simplifying the equation:

4500 = 3125(1 + r)^2

Dividing both sides by 3125:

4500/3125 = (1 + r)^2

1.44 = (1 + r)^2

Taking the square root of both sides:

√1.44 = 1 + r

1.2 = 1 + r

Subtracting 1 from both sides:

0.2 = r

Therefore, the rate of interest per annum is 20%.

So, the correct answer is (C) 20%.

This problem has been solved

Similar Questions

Gary borrowed $1200 from a bank. He had to repay $2.20 as simple interest after 2 months. Determine the interest rate per annum.

A man took a loan from a bank at the rate of 12% per annum at simple interest. After 3 years he had to pay 5,400 as interest. The principal amount borrowed by him was?

A lent 5000 to B for 2 years and 3000 to C for 4 years on simple interest at the same rate of interest and received 2200 in all from both as interest. The rate of interest per annum is?Options7%7.12%10%5%

(a) $855 simple interest was paid when $4500 was invested at 4.75% per annum.Determine the period of investment.(b) Mrs. Woods borrowed a sum of money from a bank at 12.5% per annum for 6 yearsand paid $6375 simple interest. Calculate the sum of money mrs. Wood borrowedfrom the bank.(c) The simple interest on $15 000 for years is $4950. Calculate the rate percent perannum.

Select the correct answerA person borrowed Rs.5,000 at 5% rate of interest per annum and immediately lent it at 5.5%. After two years he collected the amount and settled his loan. What is the amount gained by him in this transaction?OptionsRs.100Rs.50Rs.25Rs.200

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.