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A sum of Rs.2000 gives a simple interest of Rs.100 in 2 years. Find the rate of interest per annum ?5/4%5/6%5/2%5/8%

Question

A sum of Rs.2000 gives a simple interest of Rs.100 in 2 years. Find the rate of interest per annum?

Options:

  • 5/4%
  • 5/6%
  • 5/2%
  • 5/8%
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Solution

To find the rate of interest per annum, we can use the formula for simple interest which is:

I = PRT/100

where: I = Interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time (in years)

In this case, we know that: I = Rs.100 P = Rs.2000 T = 2 years

We need to find R. So, we rearrange the formula to solve for R:

R = I * 100 / (P * T)

Substituting the given values:

R = 100 * 100 / (2000 * 2)

R = 10000 / 4000

R = 2.5

So, the rate of interest per annum is 2.5%. None of the options provided (5/4%, 5/6%, 5/2%, 5/8%) match this answer.

This problem has been solved

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