Question

The simple interest on a sum of money is 4/9 of the principal. Find the rate percent and time, if both are numerically equal.​

Answer 1

Answer:

Let principal be x

Simple interest = 4x/9

Let rate be y%

According to question

Time = y years

Then

As we know

S.I = P×R×T/100

4x/9 = x × y × y/100

By cross multiplication

400x = 9x × 9y^2

400x/9x = 9y^2

400/9÷9 = y^2

400/9 × 1/9 = y^2

400/81 =y^2

y = √400/81

y= 20/9

Therefore

Rate = 20/9%

Time = 20/9 years

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