4. Aryan borrowed a sum of ₹ $36,000$ for $1½$ years at $10%$ p.a. compound interest (i) Find the total interest paid by him. (ii) Find the amount he needs to return to clear the debt.

Given

P = Principal

R = Rate

T = Time

P = ₹ $36,000$, r = $10$%p.a., t = $1.5$year

Solution:-

C₁ = (P × r × t)/$100$

= $(36,000\times 10\times 1)/100$  

= ₹ $3,600$

P₁ = $36,000+3,600$

= ₹ $39,600$

Solution:-

C₂ = (P × r × t)/$100$

= $(39,600\times 10\times 1)/100$

P₂ = $36,000+3,600$

= ₹ $41,580$