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Question

What sum of money (in ₹) will yield ₹720 as simple interest in 2 years at 6% per annum?

The correct answer is
6000

Calculate Principal Sum Using Simple Interest Formula

The problem asks for the initial sum of money (Principal, P) that will generate a specific amount of simple interest (SI) over a given time period (T) at a certain interest rate (R).

Given Information:

  • Simple Interest (SI) = ₹720
  • Time Period (T) = 2 years
  • Annual Interest Rate (R) = 6%

Formula for Simple Interest:

The formula to calculate Simple Interest is:

$SI = \frac{P \times R \times T}{100}$

Solving for Principal (P):

To find the Principal (P), we need to rearrange the formula:

$P = \frac{SI \times 100}{R \times T}$

Calculation:

Substitute the given values into the rearranged formula:

$P = \frac{720 \times 100}{6 \times 2}$

$P = \frac{72000}{12}$

$P = 6000$

Result:

The sum of money that will yield ₹720 as simple interest in 2 years at 6% per annum is ₹6000.

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Important Questions from Simple Interest

  1. If ₹12,800 is invested in a bank for 5 years at the rate of 9% per annum simple interest. what amount is returned by the bank?

  2. Somu has borrowed ₹10,000 from a money lender with simple interest at a rate of 7% half yearly. How much amount will he pay to the money lender after 3 years?

  3. Find the Simple interest on Rs. 2,400 from 20 March 2019 to 31 may 2019 at \(6{1 \over 4}\) % rate?

  4. If the simple interest for five years is equal is 35% of the principal, that rate of interest is:

  5. A sum fetched a simple interest of Rs. 3,040 at the rate of 8% p.a in 5 years. what is the sum?

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