Question

the simple interest on acertain sum for 3 years at 8percent per annum ​

Answer 1

Answer:

The simple interest on a certain sum for 3 years at 8% per annum is Rs. 96 more than the simple interest on the same sum for 2 years at 9% per annum.

it's the correct answer please follow me and mark me as a brainlinst

Answer 2

Question:

The simple interest on a certain sum for 3 years at 8% per annum is Rs. 96 more than the simple interest on the same sum for 2 years at 9% per annum. Find the sum.

Answer:

Let P be the principal sum.

As we know that,

S.I.=  

100

P×r×t

​  

 

Whereas,

S.I.= Simple interest

P= Principal sum

r= Rate

t= times

Therefore,

Condition I:- For 3 years at the rate of 8% per annum.

S.I.=  

100

P×8×3

​  

.....(1)

condition II:- For 2 years at the rate of 9% per annum.

S.I.=  

100

P×9×2

​  

.....(2)

Now according to the question-

100

P×8×3

​  

=  

100

P×9×2

​  

+96

⇒  

100

P×24

​  

=  

100

(P×18)+9600

​  

 

⇒24P=18P=9600

⇒24P−18P=9600

⇒P=  

6

9600

​  

=1600

Hence the sum is Rs.1600.

Hence the correct answer is 1600.