Math, asked by dinesh6393392145, 2 months ago

In how many years the compound interest on Rs. 10000 at the rate of 10% will be Rs 2100

Answers

Answered by poonammishra148218
0

Answer:

t=2 years

Step-by-step explanation:

The chief is the amount of cash you at first vowed to reimburse. The expense of acquiring the chief is interest. By and large, any installment made on a vehicle credit will be utilized to cover any remaining expenses first (for instance, late charges).

You pay more interest front and center since your credit balance is as yet significant. In this way, most of your regularly scheduled installment is utilized to cover interest and a little piece is utilized to take care of the obligation. As you lessen the principal equilibrium of your credit after some time, your month to month interest installments will diminish also.

Principal = Rs. 10000

$$\begin{aligned}& r=10 \% \\& \text { C.I. = Rs. } 2100\end{aligned}$$

Apply formula: C.I $\left.=P\left[\left(1+\frac{\mathrm{r}}{100}\right)^t-1\right)\right]$

$$\begin{aligned}& \left.2100=10000\left[\left(1+\frac{10}{100}\right)^t-1\right)\right] \\& \left.2100=10000\left[\left(\frac{11}{10}\right)^t-1\right)\right] \\& \frac{21}{100}+1=\left(\frac{11}{10}\right)^t \\& \frac{121}{100}=\left(\frac{11}{10}\right)^t \\& \left(\frac{11}{10}\right)^2=\left(\frac{11}{10}\right)^t \\& \therefore t=2 \text { years  }\end{aligned}$$

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