Question

*What is the amount for Rs. 10000 by compound interest at 8% rate for 2 years?*

1️⃣ ₹ 5000
2️⃣ ₹ 11664
3️⃣ ₹ 15664
4️⃣ ₹ 10664​

Answer 1

Correct Question :-

What is the amount for Rs. 10000 by compound interest at 8% rate for 2 years, when compounded annually?

1️⃣ ₹ 5000

2️⃣ ₹ 11664

3️⃣ ₹ 15664

4️⃣ ₹ 10664​

Answer :-

The amount is  ₹ 11664.

So, option 2 is correct.

Given :-

Principal (P) = Rs. 10000

Rate Of Interest = 8%

Time (n) =  2 years

Formula To Be Used :-

$\longrightarrow A= P(1+\dfrac{R}{100})^{n}$

Here,

A = Amount

Solution :-

$\longrightarrow A=Rs.\:10000 (1+\dfrac{8}{100})^{2}$

$\longrightarrow A=Rs.\:10000 (\dfrac{100+8}{100})^{2}$

$\longrightarrow A=Rs.\:10000 (\dfrac{108}{100})^{2}$

$\longrightarrow A=Rs.\:10000\times \dfrac{108}{100}\times \dfrac{108}{100}$

$\longrightarrow A=Rs.\:108\times 108$

$\longrightarrow A=Rs.\:11664$

More that can be solved -

=> Compound Interest = Amount - Principal

=> C.I. = ₹ 11664 - ₹ 10000

=> C.I. = ₹ 1664

More To Know :-

$\star$ Simple Interest = $\dfrac{Principal\times Rate\:Of\:Interest\times Time}{100}$

$\star$ Principal = $\dfrac{Simple\:Interest\times 100}{Rate\:Of\:Interest\times Time}$

$\star$ Time = $\dfrac{Simple\:Interest\times 100}{Rate\:Of\:Interest\times Principal }$

$\star$ Rate Of Interest = $\dfrac{Simple\:Interest\times 100}{Time\times Principal }$

Answer 2

Answer:

2)11664

EXPLANATION

Principal P = 10,000 Rate of interest R = 8% p.a. compounded half-yearly Duration T = 2 years A = P1+ () 100 = 10000| 1+ = 10000 ( 1+ 8 2 100 4 100

= 10000(1.04)4 = 11698.58 |= A - P = 11648.58 - 10000 %3D = 1698.58 ... Compound interest is 1 11664