Question

at 10% compound rate of interest the amount of compound interest for the third year isRS. 12100. Then the total amount of compound interest for 3 years is​

Answer 1

Step-by-step explanation:

successive rate of 3 years of 10% = 33.1%

so, interest of 3Rd year = 33.1-30 = 3.1%

now,

3.1 % -------------------- 12100

33.1 % ------------------ 1,29,196.77 (approx) ✍️

Answer 2

Compound interest for 3 years is Rs. 33100.

Step-by-step explanation:

Since we have given that

Rate of compound interest = 10%

Interest for the third year = Rs. 12100

So, We need to find the amount of compound interest for 3 years.

So, we know that

Compound interest for 3 years - compound interest for 2 years = compound interest for the third year

$P(1+\dfrac{r}{100})^3-P(1+\dfrac{r}{100})^2=12100\\\\P[(1+\dfrac{10}{100})^3-(1+\dfrac{10}{100})^2=12100\\\\P[(1+0.1)63-(1+0.1)^2]=12100\\\\P(1.1^3-1.1^2]=12100\\\\P=\dfrac{12100}{0.121}\\\\P=100000$

Amount for 3 years would be

$A=100000(1+0.1)^3=133100$

So, compound interest for 3 years would be

$133100-100000\\\\=Rs.\ 33100$

Hence, Compound interest for 3 years is Rs. 33100.

# learn more:

At 10% compound rate of interest the amount of compound interest for the third year is

RS. 12100. Then the total amount of compound interest for 3 years is​

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