Question

In what time will the simple interest on a certain sum be three-fourth of the principal 6% per annum

Answer 1

Solution :-

Let the principal amount be Rs. 100

Simple interest should be three fourth (3/4th) of the principal.

So, the simple interest = (100*3)/4 = Rs. 75

So, 

P = Rs. 100 ;  Rate of Interest = 6 % Time = ? Simple Interest = Rs. 75

Simple Interest = (P*R*T)/100

⇒ 75 = (100*6*T)/100

⇒ 75*100 = 600T

⇒ T = 7500/600

⇒ T = 25/2 or 12 years and 6 months
 
So, in 12 years and 6 months the simple interest on a certain principal will be three-fourth of that principal @ 6 % per annum.

Answer. 

Answer 2

Answer:

Step-by-step explanation:

Let, principal be ₹100

S.I should be 3/4th of the principal = (100 × 3/4) = {100/4=25 (3)} = 75

So,

P=₹100 R=6% T=?(x) S.I = ₹75

S.I= (p×r×t / 100)

75 = 100 × 6 × x / 100

75×100 / 100 × 6 = x

25/2 = x

2)25(12

  2

  _

  ×5

    4

    _

    1

So that 25/2 = 12whole1/2