At what rate percent per annum compound interest will 5000 amount to 5032 in 2 years?

A. Rs. 5000

B. Rs. 5200

C. Rs. 5280

D. Rs. 5400

Solution(By Examveda Team)

$${\text{Rate 8% = }}\frac{2}{{25}}$$

Principal       Amount
25 27
25 27
625 729
↓ × 8 ↓ × 8
5000 5832

Hence required sum = Rs. 5000

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Solution : Let the compound inteest be r% . <br> `:.` The amount of Rs. 5000 in 2 years `=Rs. 5000xx(1+r/100)^(2)` <br> As per question `5000xx(1+r/100)^(2)=5832` <br> or `(1+r/100)^(2)=5832/5000` <br>or `(1+r/100)^(2)=726/625` <br> or `(1+r/100)^(2)=(27/25)^(2)` <br> or `1+r/100=27/25` [ by taking square root of both of the sides] <br> or `r/100=27/25-1` ltbgt or `r/100=2/25` or `r=(2xx100)/25=8` <br> Hence the rate of compound interest is 8% per annum.

Solution

Answer : Rate of compound interest will be 8% per annum Given A = 5832 Given P = 5000 Given n = 2 yrs Let rate of compound interest per annum is r% Apply compound interest formula A = P*[(1 + r/100)^n] 5832 = 5000[(1 + r/100)]^2 5832/5000 = [(1 +r/100)]^2 (adsbygoogle = window.adsbygoogle || []).push({}); 2916/2500 = [(1 +r/100)]^2 There are so many method to find square root of 2916 and 2500 you can use long division method for finding root of 2916 and 2500 ​​​​​ 54/50 = [1 + r/100]....... (took square root on both sides) 54/50 - 1 = r/100 4/50 = r/100 r = 8% Hence rate = 8%

At what rate percent compound interest will 5000 amount to 5832 in 2 years?

Hence rate = 8%

At what rate compound interest per annum will 5000 amount to 5618 in 2 years?

Detailed Solution Rate. I . × 100 P × T = 168.54 × 100 5618 × 1 = 3 % p .

What is the compound interest on rupees 5000 for 2 years?

∴ Compound interest is Rs.1050 Stay updated with the Quantitative Aptitude questions & answers with Testbook.

What rate per annum compound interest will Rs 5000?

5000 at 8% per annum compounded annually.