Question

the si on a sum for five years is 2/5 of the sum you have to find rate percent


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Answer 1

We know the formula :

• S . I = PRT / 100 . . . . . (1)

Here, in the question :

• T = 5 years

Let the :

• Rate of interest per annum = R
• Principal ( sum ) = P

According to the question, the S . I on a sum of 5 years is ⅖ of the sum. So we get :

• S . I = ⅖ ( P ) . . . . . (2)

Now, substituting the value of S . I from (2) in (1) :

• S . I = PRT / 100
• ⅖ P = P R ( 5 ) / 100
• ⅖ P = P R / 20
• ⅖ = R / 20
• ⅖ ( 20 ) = R
• 2 ( 4 ) = R
• 8% = R

★ Therefore, the rate percent ( R% ) is 8% when the S . I is on a sum for 5 years is ⅖ of the sum.