Question

the compound interest on a certain sum for 2 years at 5% per annum is 328 find the sum​

Answer 1

Answer:

3200

Step-by-step explanation:

Given :

C.I. = 328

Rate = 5 %

Time = 2 years

Principal = ?

We know :

$\displaystyle{\text{A} = \text{P}\left(1+\frac{\text{R}}{100}\right)^n }$

We can write , A as P + C.I.

P + 328 = P ( 1 + 5 / 100 )²

P + 328 = P ( 21 / 20 × 21 / 20 )

P + 328 = 441 P / 400

400 P + 328 × 400 = 441 P

41 P = 328 × 400

P = 328 × 400 / 41

P = 3200

Answer 2

The sum is 3200 Rs

Step-by-step explanation:

Given data:

• Compound interest = 328 Rs
• Rate = 5 %
• Time = 2 years
• Principal = ?

We know that:

A = P ( 1 + R/100)^n

We can write:

A as P + Compound Interest

P + 328 = P ( 1 + 5 / 100 )²

P + 328 = P ( 21 / 20 × 21 / 20 )

P + 328 = 441 P / 400

400 P + 328 × 400 = 441 P

41 P = 328 × 400

P = 328 × 400 / 41

P = 3200

Thus the sum is 3200 Rs

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