Question

the difference between compound interest and simple
interest on a certain sum of money for 3 years at 5% per annum its rupees 61 find the sum

Answer 1

Answer:

Step-by-step explanation:

I hope it will helpful to you.

Answer 2

Answer:

The Main Principle (P) = Rs. 8000

Step-by-step explanation:

Hey Mate,

Given,

C.I - S.I = Rs. 61

Rate = 5%

Time = 3 Years

P = ?

Suppose,

P' = Rs. 100

So,

S.I = ( P' × R × T )/ 100

S.I = ( 100 × 5 × 3)/ 100

S.I = 5 × 3

S.I = Rs. 15

&

C.I = $P'(1+\frac{5}{100} )^{3}-P'$

C.I =  $100(\frac{105}{100} )^{3}-100$

C.I =  $100(\frac{21}{20} )^{3}-100$

C.I =  $100(\frac{9261}{8000} )-100$

C.I =  $(\frac{9261}{80} )-100$

C.I =  $(\frac{9261-8000}{80} )$

C.I =  $(\frac{1261}{80} )$

C.I = Rs. 15.7625

Difference = C.I - S.I = 15.7625 - 15 = Rs. 0.7625.

Main Difference = Rs. 61

So,

Principle (P) = (P' × 61 ) / 0.7625

P = ( 100 × 61 )/ 0.7625

P = 6100/ 0.7625

P = Rs. 8000

The Main Principle (P) = Rs. 8000