What is the difference of interest for 2 years and 3 years on a sum of ₹ 2100 at 8% per annum?

At a simple rate of interest, an amount of Rs.2100 becomes Rs. 2352 in 2 years. If the interest rate is decreased by 1% then what is the new interest in 2 years?

  1. Rs. 210
  2. Rs. 220
  3. Rs. 242
  4. Rs. 252

Answer (Detailed Solution Below)

Option 1 : Rs. 210

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10 Questions 10 Marks 7 Mins

Interest = PRT/100

Amount = Principal + Interest

Let the rate be r%

Interest = (2100 × r × 2)/100

2352 - 2100 = (2100 × r × 2)/100

252 = 42r ⇒ r = 6%

New rate of interest = r - 1 = 5%

Interest when r% is 5% = (P × (5) × 2)/100 = (2100 × 5 × 2)/100 = Rs. 210

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Let's discuss the concepts related to Interest and Simple Interest. Explore more from Quantitative Aptitude here. Learn now!

Solution:

The difference of interest for 2 years and 3 years on a sum of ₹2100 at 8% per annum is _________.

We have to fill in the blanks to make the statement true.

Interest = P × R × T/100

Given, P = ₹2100

R = 8%

For 2 years, I = 2100 × 8 × 2/100

= 21 × 16

= ₹336

For 3 years, I = 2100 × 8 × 3/100

= 21 × 24

= ₹504

Difference of interest = 504 - 336

= ₹168

Therefore, the required value is ₹168.

✦ Try This: The difference of interest for 4 years and 5 years on a sum of ₹2800 at 5% per annum is _________. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8


NCERT Exemplar Class 7 Maths Chapter 7 Problem 53

The difference of interest for 2 years and 3 years on a sum of ₹2100 at 8% per annum is _________. Fill in the blanks to make the statement true

Summary:

The difference of interest for 2 years and 3 years on a sum of ₹2100 at 8% per annum is ₹168.


☛ Related Questions:

  • To convert a fraction into a percent, we _________ it by 100. Fill in the blanks to make the stateme . . . .
  • To convert a decimal into a percent, we shift the decimal point two places to the _________. Fill in . . . .
  • The _________ of interest on a sum of ₹2000 at the rate of 6% per annum for 1 1/2 years and 2 years . . . .


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Updated On: 27-06-2022

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What is the difference between simple interest and compound interest for a period of 2 years?

Generally, simple interest paid or received over a certain period is a fixed percentage of the principal amount that was borrowed or lent. Compound interest accrues and is added to the accumulated interest of previous periods, so borrowers must pay interest on interest as well as principal.

On what sum will the difference between the simple and compound interest for 3 years at 5 per annum?

The difference between simple and compound interest on a sum for 3 years at 5% p.a. is Rs. 76.30 .

On what sum does the difference between simple interest and compound interest for two years at 5 percent Rs 15?

Hence, the sum is Rs. 6000.

On what sum of money will the difference between SI and CI for 2 years at 5% per annum be equal to 25?

This is Expert Verified Answer Hence, the required answer is Rs. 20,000.