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Sumit borrowed some money from Cooperative Bank at 5% per annum simple interest after 2 year and 6 month he paid back rupees 2500 to the bank and settled up account calculate how much money is borrowed by Sumit?
Most Upvoted Answer
Sumit borrowed some money from Cooperative Bank at 5% per annum simple...
Calculation of the borrowed money by Sumit:

Given data:
- Rate of interest = 5% per annum
- Time = 2 years and 6 months = 2.5 years
- Amount paid back = Rs. 2500

To calculate the borrowed money by Sumit, we can use the formula for simple interest:

Simple Interest (SI) = (P * R * T) / 100

Where,
P = Principal amount (borrowed money)
R = Rate of interest per annum
T = Time in years

Calculating the Principal Amount (P):

We need to find the principal amount (P). Since we know the simple interest, rate of interest, and time, we can rearrange the formula to solve for P:

P = (SI * 100) / (R * T)

Substituting the given values:

P = (2500 * 100) / (5 * 2.5)
P = 50000 / 12.5
P = Rs. 4000

Therefore, Sumit borrowed Rs. 4000 from the Cooperative Bank.

Explanation:

- Sumit borrowed money from Cooperative Bank at a simple interest rate of 5% per annum.
- After 2 years and 6 months (or 2.5 years), he paid back Rs. 2500 to the bank and settled the account.
- We can calculate the borrowed money (Principal amount) using the formula for simple interest: P = (SI * 100) / (R * T).
- Substituting the given values, we find that Sumit borrowed Rs. 4000 from the Cooperative Bank.
- It is important to note that the simple interest formula assumes that the interest is charged only on the principal amount, and there are no additional fees or charges involved in the calculation.
- The calculation of simple interest is straightforward and commonly used in various financial transactions, such as loans, mortgages, and investments.
Community Answer
Sumit borrowed some money from Cooperative Bank at 5% per annum simple...
Time = 2 year and 6 month
= 2.5 year


Rate of interest = 5% yearly

When Rate of calculating half yearly,

then Time = 2 * 2.5 = 5


Rate of interest = (5÷2)% = 2.5%


SI = (P * R * T)/100


P = (SI * 100)/(R * T)


P = (2500 * 100)/(2.5 * 5)

P = (2500 ÷ 2.5) (100 ÷ 5)

P = (25000 ÷ 25) (20)

P = (1000) (20)

P = 2,00,000


So Money is borrowed by Sumit = Rupees 2,00,000
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Sumit borrowed some money from Cooperative Bank at 5% per annum simple interest after 2 year and 6 month he paid back rupees 2500 to the bank and settled up account calculate how much money is borrowed by Sumit?
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