At what rate percent per annum will rupees 2304 amount to rupees 25000 in 2 years at compound interest?

How much will Rs 25000 amount to in 2 years at compound interest, if the rates for 1st and 2nd years be 4% and 5% p.a. respectively?

Solution

Here P = Rs.25000, t = 2 years, r = 4%, 5% successively.
Now, Amount
= `"P"(1 + "r"_1/100)(1 + "r"_2/100)`

= `25000(1 + 4/100)(1 + 5/100)`

= `25000(104/100)(105/100)`
= 27300
Hence, Amount = Rs.27300.

Concept: Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years

  Is there an error in this question or solution?

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Correct Option: C

Let the rate percent per annum be r.
Given that , P = ₹ 2304 , A = ₹ 2500 , n = 2 years
Using the given formula ,

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A = P

1 + r

n
100

2500 = 2304

1 + r

2
100

⇒ 

1 + r

2 = 2500 =

50

2
100 2304 48

⇒  1 + r = 50 = 25
100 48 24

⇒  r = 25 − 1 = 1
100 24 24

⇒  r = 100 = 25 = 4 1 %
24 6 6

Principal = Rs. 2304,

Amount = Rs. 2500

Time = 2 years,

Let Rate % = R %

By using formula,

\( \Large 2500=2304 \left(1+\frac{R}{100}\right)^{2}\)

\( \Large \frac{2500}{2304}= \left(1+\frac{R}{100}\right)^{2}\)

\( \Large \frac{625}{576}= \left(1+\frac{R}{100}\right)^{2}\)

\( \Large\left(\frac{25}{24}\right)^{2} = \left(1+\frac{R}{100}\right)^{2}\)

By taking square root of both sides,

\( \Large \frac{25}{24}= 1+\frac{R}{100} \)

\( \Large \frac{R}{100}=\frac{25}{24}-1 \)

\( \Large R=\frac{100}{24}=\frac{25}{6} \% \)

Rate = \( \Large 4\frac{1}{6} \) %


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At what rate per cent per annu...

Updated On: 27-06-2022

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Text Solution

`4(1)/(2)%``4(1)/(5)%``4(1)/(6)%``4(1)/(3)%`

Answer : C

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At what rate percent per annum compound interest will 2304 amount to?

Hence, the rate of interest is 461% p.a.

What is the compound interest on rupees 2500 for 2 years at rate of interest for percent per annum?

Detailed Solution 2,500 in 2 years and Rs. 3,000 in 3 years at certain rate of compound interest. ⇒ R = 20% p.a. ∴ Rate of interest is 20% p.a..

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

Hence rate = 8%

What is the amount and the compound interest on 2500 for 2 years at 10% per annum compounded annually?

∴ Amount will be Rs. 3025 and Interest will be Rs. 525 If Compounded Annually.

At what rate percent per annum compound interest will 2304 amount to?

Hence, the rate of interest is 461% p.a.

What is the compound interest on rupees 2500 for 2 years at rate of interest for percent per annum?

Detailed Solution 2,500 in 2 years and Rs. 3,000 in 3 years at certain rate of compound interest. ⇒ R = 20% p.a. ∴ Rate of interest is 20% p.a..

At what rate percent will 2000 amount to 2315 25 in 3 years at compound interest?

At what rate percent will ₹ 2000 amount to ₹ 2315.25 in 3 years at compound interest? Hence, the rate of interest is 5% p.a.

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

Hence rate = 8%