Correct Answer - Option 4 : Rs. 10000
Let the principal be P.
Rate = R = 10% per annum, Time = n = 3 years
Simple Interest = (P × N × R)/100
When interest is compounded annually:
Amount = P[1 + (R/100)]n
Given,
⇒ CI – SI = 310
Then,
⇒ SI = (P × 10 × 3)/100
⇒ SI = 0.3P
⇒ CI = P[1 + (10/100)]3 – P
⇒ CI = P(1.1)3 – P
⇒ CI = 0.331P
⇒ 310 = 0.331P – 0.3P
⇒ P = Rs. 10000
⇒ SI for 5 years at 20% per annum = (10000 × 5 × 20)/100
⇒ SI = 10000
Simple Interest is Rs. 10000.