Question: A man borrowed some money for 90 days. He paid Tk. 270 as interest at the rate of 8% per annum. What was the amount he borrowed?

Solution:
এখানে,
সময়, n = 90 দিন
= 3 মাস = 3/12 বছর
= 1/4 বছর

মুনাফা, I = 270 টাকা
মুনাফার হার, r = 8% = 8/100 = 2/25
আসল, P = ?

আমরা জানি,
I = P × n × r
⇒ P × n × r = I
⇒ P = I/(n × r)
= 270/{(1/4) × (2/25)}
= 270/(1/50)
= 270 × 50
= 13500 টাকা

Solution:
Given,
Principal, P = 3200
Rate, r = 5% = 5/100 = 1/20
Time, n = 2 years

We know,
A = P(1 + r)n
  = 3200 × (1 + 1/20)2
  = 3200 × (21/20)2
  = (3200 × 21 × 21) / (20 × 20)
  = (3200 × 441) / 400
  = 1411200 / 400
  = 3528

∴ The compound amount is Tk. 3528.