The rate of compound interest at which a sum of 8000 amounts to 8820 in 2 years is

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A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is:a)6%b)7%c)3%d)5%Correct answer is option 'D'. Can you explain this answer? for CLAT 2022 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is:a)6%b)7%c)3%d)5%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2022 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is:a)6%b)7%c)3%d)5%Correct answer is option 'D'. Can you explain this answer?.

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Q. A sum of 8000 Rs. will amount to 8820 Rs. in 2 years if the interest is calculated every year. The rate of compound interest is:
Answer: [B] 5%
Notes: If the rate of CI be r% per annum, then $ A = P \left ( 1+\frac{R}{100} \right )^{T}$ $ => 8820 = 8000\left ( 1+\frac{r}{100} \right )^{2}$ $ => \frac{8820}{8000} = \left ( 1+\frac{r}{100} \right )^{2}$ $ => \frac{441}{400} = \left ( \frac{21}{20} \right )^{2} = \left ( 1+\frac{r}{100} \right )^{2}$ $ => 1+\frac{r}{100} = \frac{21}{20}$ $ => \frac{r}{100} = \frac{21}{20}-1 = \frac{1}{20}$ $ => r = \frac{1}{20}\times 100 = 5\%\ per\ annum$ Hence option [B] is correct answer.

A. 6%

B. 7%

C. 3%

D. 5%

Solution(By Examveda Team)

$$\eqalign{ & {\text{Principal = Rs 8000}} \cr & {\text{Amount = Rs 8820}} \cr & {\text{Let Rate = }}R \cr & {\text{Time = 2 years}} \cr & {\text{By using formula, }} \cr & \Rightarrow 8820 = 8000{\left( {1 + \frac{R}{{100}}} \right)^2} \cr & \Rightarrow \frac{{8820}}{{8000}} = {\left( {1 + \frac{R}{{100}}} \right)^2} \cr & \Rightarrow \frac{{441}}{{400}} = {\left( {1 + \frac{R}{{100}}} \right)^2} \cr & {\text{Taking square root of both sides,}} \cr & \Rightarrow \frac{{21}}{{20}} = \left( {1 + \frac{R}{{100}}} \right) \cr & \Rightarrow R = 5\% \cr} $$

Free

CT : General Intelligence and Reasoning (Practice Set)

10 Questions 20 Marks 8 Mins

GIVEN:

Principal = Rs.8000

Amount after 2 years = Rs.8820

CONCEPT:

As interest is compounded annually for 2 years, we have to square root both principal and amount and compare them to find the interest.

FORMULA USED:

Amount = Principal (1 + Rate/100)t

CALCULATION:

Let, the rate of interest be r%

Accordingly, 

8000 × (1 + r/100)2 = 8820

⇒ 8820/8000 = (1 + r/100)2

⇒ 441/400 = (1 + r/100)

⇒ 21/20 = 1 + r/100

⇒ r/100 = 1/20

⇒ r = 5

∴ Rate of Interest is 5%  per annum.

Last updated on Nov 16, 2022

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At what rate percent per annum will 8000 amount to 10000 in 2 years?

We are given that Rs. 8,000 amounts to Rs. 10,000 in two years. Assume the interest is calculated compounded annually. Therefore, rate of interest is 11.8% per annum.

At what rate of interest will Rs 8000 amounts to Rs 8800 after 2 years?

At the rate of interest 5% 8000 become 8800 after 2 years.

At what rate percent per annum compound interest will 8000 amount to 8820 in six months the interest being compounded quarterly?

∴ Rate of Interest is 5% per annum.

What will be the compound interest when amount of Rs 8000 is deposited for 2 years at the rate of 5% per annum?

Detailed Solution 1240 is the compound interest earned.