A man deposited a sum of money in a bank at the rate of 6 % per annum for 4years.
If he received an interest of Rs 1,440, how much money did he deposit in the bank?
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Answer:
Given rate of interest = 6% p.a. (per annum)
Given time period = 4 years
Given simple interest = Rs. 1,400
Principal amount = ?
We already know that simple interest = P x R x T/100. So, by substituting the values, we will get the value of the simple interest. (P = principal amount
R = rate of interest T = time period)
⇒ Simple interest = P x R x T/100
⇒ Rs. 1,400 = P x 6 x 4 / 100
⇒ Rs. 1,400 x 100 = P x 6 x 4
⇒ Rs. 1,40,000 = P x 6 x 4
⇒ Rs. 1,40,000 / 4 = P x 6
⇒ Rs. 35,000 = P x 6
⇒ Rs. 35,000 / 6 = P
⇒ Rs. 5,833.33 = P
∴ The man deposited (principal amount) = Rs. 5,833.33
Thnx and have a nice day!
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