Susan deposited ₹ 8000 in a bank at the rate of 12 per cent per annum....
Calculation of Interest and Amount Collected from the Bank
Given:
Principal amount (P) = ₹ 8000
Rate of interest (R) = 12% per annum
Time (T) = 9 months
Step 1: Calculate the interest earned
The formula to calculate simple interest is:
Interest (I) = (P * R * T) / 100
Let's substitute the given values into the formula:
I = (8000 * 12 * 9) / 100
I = 8640 / 100
I = ₹ 864
Therefore, Susan earned ₹ 864 as interest.
Step 2: Calculate the amount collected from the bank
The formula to calculate the amount collected is:
Amount (A) = P + I
Substituting the values:
A = 8000 + 864
A = ₹ 8864
Therefore, Susan collected ₹ 8864 from the bank.
Explanation:
When Susan deposited ₹ 8000 in the bank at a rate of 12% per annum, she earned interest on this amount. The interest earned is calculated using the simple interest formula, where the principal amount (P), rate of interest (R), and time period (T) are taken into account.
Since Susan withdrew the money after 9 months, the time is converted to years by dividing it by 12 (as there are 12 months in a year). So, T = 9/12 = 0.75 years.
Using the formula, the interest earned is calculated as (8000 * 12 * 0.75) / 100 = ₹ 864.
To find the total amount collected from the bank, the interest earned is added to the principal amount. Therefore, the amount collected is ₹ 8000 + ₹ 864 = ₹ 8864.
Hence, Susan received ₹ 864 as interest and collected ₹ 8864 from the bank.
Susan deposited ₹ 8000 in a bank at the rate of 12 per cent per annum....
Here we will use the formulae of simple interest that is p*r*t /100.Here p =8000, r =12%and t =9 /12 =3/4.Now solve the problem, 8000*12 *3 /100 *4 =720.Amount = 8000+720 =8720.
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.