Find the difference between the simple interest and compound interest on 2500 for 2 years

Find the difference between CI & SI or 2 years at 12% rate of interest. If principal is Rs. 2500. 

  1. Rs. 24
  2. Rs. 36
  3. Rs. 32
  4. Rs. 28

Answer (Detailed Solution Below)

Option 2 : Rs. 36

Free

15 Questions 15 Marks 8 Mins

Given: 

The principal = Rs. 2500

Rate of interest = 12%

Time = 2 years

Concept: 

SI = (P × R × T)/100

CI = P[(1 + r/100)n – 1]

Here, n is the number of terms in the year.

Calculation: 

The simple interest for 2 years

⇒ (2500 × 12 × 2)/100

⇒ 25 × 12 × 2

⇒ Rs. 600 

Now, Compound interest for 2 years is 

⇒ 2500[(1 + 12/100)2 – 1]

⇒ 2500[(112/100)2 – 1]

⇒ 2500 × (28/25)2 – 2500

⇒ 2500 × (784/625) – 2500

⇒ 3136 – 2500

⇒ Rs. 636

Now, The difference between CI and SI is

⇒ Rs. 636 – Rs. 600

⇒ Rs. 36

∴ The difference between CI and SI is Rs. 36. 

Find the difference between the simple interest and compound interest on 2500 for 2 years
Alternate Method

The difference between CI and SI for 2 years is P(r/100)2

The  difference is 

⇒ 2500(12/100)2

⇒ 2500 × 144/10000

⇒ Rs. 36

∴ The difference between CI and SI is Rs. 36. 

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What is the difference between the compound interest and simple interest on 2500 for 2 years at 4% per annum?

= 2704 - 2500 = Rs. 204 C.I. - S.I.

What is the compound interest on 2500 for 2 years?

2500 Amount = C.I = A - P = Rs. 3025 - 2500 = Rs. 525.

What is the formula for difference between compound interest and simple interest for 2 years?

Difference = 3 x P(R)²/(100)² + P (R/100)³.

What is the difference between simple interest and compound interest for a period of 2 years at the rate of 10% per annum on a sum of 60000?

The difference between the compound interest and simple interest on a certain sum of money at 10% per annum for 2 years is Rs. 500.