Question

At which rate of interest will rs.8000 ount to rs.9600 in 5 years

Answer 1

The formula for compounding is A=P(1+r/100)^n. Now, what does the formula mean, simply put every year the money you had earlier put (principal) would be multiplied by a factor ( 1+r/100) a certain number of times (years you invested/loaned) ,right?

Now if you start compounding half yearly, what would change? Say you were getting Rs 10 on Rs 100 for an year i.e. 10% interest, now the person would give you only Rs 5 as you have invested for half year right? So, you can say the ROI for half year is half of that of full year. Now, after half an year your money has amounted to Rs 105, now for the course of next half year this would act as your principal? That is why, now the number of times your money would be multiplied would be doubled, as the amount is compounded twice instead of once every year. If you understand this basic you won’t have to mug up the formula. Now, if you are given compounded thrice the ROI would be 1/3rd and number of times it is multiplied would be tripled.

Answer 2

The rate of  interest will rs.8000 amount to rs.9600 in 5 years is 4%

Explanation:

The computation is shown below:

We know that

Amount = Simple interest + principal

Let us assume the interest rate be X

where,

Amount = Rs. 9,600

And, the simple interest is

Simple interest = Principal × Interest rate ÷ 100 × time period

= Rs. 8,000 × X ÷  100 × 5

Now equate this equation

Rs. 9,600 =  Rs 8,000 + Rs. 8,000 × X ÷  100 × 5

After solving this

Rs. 9,600 = Rs 8,000 + 400X

400X = 1,600

X = 4%

So, the rate of interest is 4%

                       

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