*The difference between simple interest and compound interest at the r

1.	The difference between simple interest and compound interest at the rate of 10% for two years on an amount is Rs. 20. Find the principal value?1️⃣ ₹.1002️⃣ ₹ 2003️⃣ ₹. 200004️⃣ ₹ 2000
Answer» Answer : 4️⃣ ₹2,000 Explanation : The difference between simple interest and compound interest at the RATE of 10% for 2 tear is ₹20. Find the principal. Let's take the principal as ‘p’ We know that, → S. I. = p × r × t/100 → S. I. = p × 10 × 2/100 → S. I. = 20p/100 And also, The C. I. = Amount - principal Or, → p(1 + r/100)ⁿ - p → p(1 + 10/100)² - p → p(11/10)² - p → 121p/100 - p → 21p/100 Given, → C. I. - S. I. = 20 → 21p/100 - 20p/100 = 20 → p/100 = 20 → p = 2000 ∴ The principal is ₹2,000 _____________________ Formula used : 1. Amount = p(1 + r/100)ⁿ p = principal r = rate n = time 2. Simple interest = p × r × t/100

The difference between simple interest and compound interest at the rate of 10% for two years on an amount is Rs. 20. Find the principal value?1️⃣ ₹.1002️⃣ ₹ 2003️⃣ ₹. 200004️⃣ ₹ 2000

Answer»

Answer :

4️⃣ ₹2,000

Explanation :

The difference between simple interest and compound interest at the RATE of 10% for 2 tear is ₹20.

Find the principal.

Let's take the principal as ‘p’

We know that,

→ S. I. = p × r × t/100

→ S. I. = p × 10 × 2/100

→ S. I. = 20p/100

And also,

The C. I. = Amount - principal

Or,

→ p(1 + r/100)ⁿ - p

→ p(1 + 10/100)² - p

→ p(11/10)² - p

→ 121p/100 - p

→ 21p/100

Given,

→ C. I. - S. I. = 20

→ 21p/100 - 20p/100 = 20

→ p/100 = 20

→ p = 2000

∴ The principal is ₹2,000

Formula used :

1. Amount = p(1 + r/100)ⁿ

2. Simple interest = p × r × t/100