Given that the interest is only earned on principal, if an investment of Rs 100,000 amounts to Rs 144,000 in two years, what is the rate of interest earned?

To find the rate of interest earned, we can use the formula for simple interest. Simple interest is calculated using the formula:

Interest (I) = Principal (P) × Rate (R) × Time (T)

In this case, we know the following:

  • Principal (P): Rs 100,000
  • Amount after 2 years: Rs 144,000
  • Time (T): 2 years

First, let’s find the interest earned over the 2 years:

Interest (I) = Amount – Principal = Rs 144,000 – Rs 100,000 = Rs 44,000

Now we have the interest earned and we can plug the values into the formula:

Rs 44,000 = Rs 100,000 × R × 2

Now, simplifying this to find the rate:

R = Rs 44,000 / (Rs 100,000 × 2)

R = Rs 44,000 / Rs 200,000 = 0.22

To express this as a percentage, we multiply by 100:

R = 0.22 × 100 = 22%

Therefore, the rate of interest earned on the principal is 22% per annum.

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