Calculate total interest earned if an amount of INR 8000 is divided in

1.	Calculate total interest earned if an amount of INR 8000 is divided into two parts. 40% of the amount is compounded at a 20% p.a. rate of interest for two years and 60% earns simple interest at the same rate for the same years.1. Rs. 33282. Rs. 42083. Rs. 37644. Rs. 4586
Answer» Correct Answer - Option 1 : Rs. 3328 Given: Rate of interest = 20% Years = 2 Principal amount = 8000 Formula used: Simple interest: (P × R × T) / 100 Compound interest: Amount = P (1 + (R/100))ⁿ Where, n = Number of years, P = Principal Amount, R = Rate of Interest, A = Amount Calculations: Here, 40% of amount is compounded ⇒ P for C.I. = (40 / 100) × 8000 ⇒ P for C.I. = 3200 ⇒ 3200 × (1 + (20 / 100))² ⇒ 3200 × (6 / 5)² ⇒ 3200 × 36 / 25 ⇒ 4608 ⇒ Interest earned = 4608 – 3200 ⇒ I = 1408 Now, ⇒ 60% of amount = 8000 – 3200 ⇒ P for S.I. = 4800 ⇒ 4800 × 20 × 2 / 100 ⇒ I = 1920 ∴ Total interest earned is Rs. 3328

Calculate total interest earned if an amount of INR 8000 is divided into two parts. 40% of the amount is compounded at a 20% p.a. rate of interest for two years and 60% earns simple interest at the same rate for the same years.1. Rs. 33282. Rs. 42083. Rs. 37644. Rs. 4586

Answer» Correct Answer - Option 1 : Rs. 3328

Given:

Rate of interest = 20%

Years = 2

Principal amount = 8000

Formula used:

Simple interest: (P × R × T) / 100

Compound interest: Amount = P (1 + (R/100))ⁿ

Where, n = Number of years, P = Principal Amount, R = Rate of Interest, A = Amount

Calculations:

Here, 40% of amount is compounded

⇒ P for C.I. = (40 / 100) × 8000

⇒ P for C.I. = 3200

⇒ 3200 × (1 + (20 / 100))²

⇒ 3200 × (6 / 5)²

⇒ 3200 × 36 / 25

⇒ 4608

⇒ Interest earned = 4608 – 3200

⇒ I = 1408

Now,

⇒ 60% of amount = 8000 – 3200

⇒ P for S.I. = 4800

⇒ 4800 × 20 × 2 / 100

⇒ I = 1920

∴ Total interest earned is Rs. 3328

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