Question

the simple interest on a certain sum for 5 years at 8 percent per annum is Rs 120 more than the simple interest on the same for 3 years at 10 percent per annum find the sum​

Answer 1

For Rs 100 the amount accrued after 2- years at 10% interest=Rs 100(1.1)² =Rs 121
So compound interest for Rs 100 principal = Rs 21.
So for a C.I of Rs 525 ,the C.Principal = 100/21 x 525 = Rs. 2500.
Now Principal= P= Rs 2500
Rate of interest= I= 5%
Number of years N=4- years
I = PNR/100 =Rs 2500x4x5/100
S.I for 4- years = Rs 500.00


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Answer 2

Step-by-step explanation:

Let the principal = P

A.T.Q

S.I. = P x R x T / 100

here

T1 = 5 yrs , R1% = 8% p.a.

T2 = 3yrs , R2% = 10% p.a.

therefore now

P x R1 x T1 / 100 = P x R2 x T2 / 100 + 120

P x 8 x 5 / 100 = ( P x 10 x 3 ) + 1200 / 100

Px 8 x 5 = ( P x 10 x 3 ) + 1200

40 P = 30 P + 1200

40 P - 30 P = 1200

10 P = 1200

P = 120 ans.

Therefore

Principal = 1200