Question

A sum of rupees 80 amount to rupees 83.20 in 2 years what will be the amount for a sum of rupees 86 in four years at the same rate of simple interest​

Answer 1

A sum of 80 rupees amounted to 83.20 rupees in 2 years. What will be the amount for a sum of 86 rupees in 4 years with the same rate of simple interest?

Let’s take the Basic Simple Interest Approach:

We have

P: Principal (Rs 80)

T: Time period (2 years)

P+I: Amount at the end of 2 years (Rs 83.20)

Note that we had a principal of Rs 80 which has grown to Rs 83.20 in 2 years. This essentially means that there was an interest addition of Rs 3.20 ( Rs 83.20-Rs 80 ) in the time period.

Therefore I: Interest (Rs 3.20)

Let us find out the rate of interest that was incurred in this case;

We know that P x (R/100) x T = I

We have values for all the variables except R

Finding out R by substituting other known values

R = ( I x 100 )/ (P x T)

R = ( 3.2 x 100 )/ (80 x 2)

R = 2

Which means the Rate of Interest incurred is 2% (every year)

Now with this information, we can find out the second part of the question.

We have,

P: Principal = Rs 86

T: Time period = 4 years

R: Rate of Interest = 2% (or) 2/100

Therefore, Interest,I = ( P x R x T )/100 = (86 x 4 x 2)/100 = 6.88

So the amount at the end of 4 years will be (P + I) = Rs 86 + Rs 6.88 = Rs 92.88

Answer 2

Step-by-step explanation:

rupee 92 .88 wiil be the answer