A sum of ₹ 70000 amounts to ₹ 84,700 in 3 years at simple interest.A sum of ₹9600 will amount to ₹ in 5 years at the same rate of interest.

To solve this problem, we first need to find the rate of interest. We can use the formula for simple interest:

I = PRT/100

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

From the problem, we know that a sum of ₹ 70000 amounts to ₹ 84700 in 3 years. This means the interest earned is ₹ 84700 - ₹ 70000 = ₹ 14700.

We can plug these values into the formula to find the rate:

14700 = 70000R3/100 R = (14700 * 100) / (70000 * 3) R = 7%

Now that we have the rate, we can find how much a sum of ₹ 9600 will amount to in 5 years at this rate. We can use the formula for the total amount with simple interest:

A = P + I A = P + (PRT/100)

Where: A = Total amount after interest P = Principal amount (the initial amount of money) R = Rate of interest T = Time (in years)

Plugging in the values we have:

A = 9600 + (960075/100) A = 9600 + 3360 A = ₹ 12960

So, a sum of ₹ 9600 will amount to ₹ 12960 in 5 years at the same rate of interest.