Question

The difference between compound interest and simple intrest at 5%per annum in 2years is rs 30 find the sum

Answer 1

Answer:

Given :

R = 5%

T = 2 years

CI - SI = Rs 30

To find :

P = ?

Solution :

SI = P x R x T/100

SI = P x 5 x 2/100

SI = P/10

And

A = P(1 + 5/100)²

A = P(21/20)²

A = 441 P/400

CI = A - P

=> 441 P/400 - p

=> 441 P - 400 P/400

=> 41 P/400

=> CI - SI = Rs 30

=> 41 P/400 - p/100 = 30

=> 41 P - 40 P = 30

=> P/100 = 30

=> P = 400 x 30

=> Rs 12000

∴ Sum is 12000

Answer 2

Answer:

P = 12,000

Step-by-step explanation:

Principle = p = ?

Rate = r = 5%

Time = t = 2 yrs

Difference between compound intrest and simple intrest is 30

$P[(1+i)^n-1] - P *i*t = 30$

$P[(1+0.05)^2-1] - P*0.05*2 = 30$

$P(0.1025) - 0.1p = 30$

$0.0025P = 30$

$P = \frac{30}{0.0025} = 12,000$