$$ P=₹ 6000, f=F 900, T=7 $$ yeass. Find $$ R $$ Principal $$ =6000 $$

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To find the rate of interest $$ R $$ when the principal $$ P $$, time $$ T $$, and amount $$ A $$ are given, we can use the formula:

$$ A = P(1 + \frac{R}{100}T) $$

Given:
- Principal $$ P = ₹6000 $$
- Time $$ T = 7 $$ years
- Amount $$ A = ₹900 $$

We need to find the rate of interest $$ R $$.

Substitute the given values into the formula:

$$ 900 = 6000(1 + \frac{R}{100} \times 7) $$

Now, we can solve for $$ R $$.
Solve the equation by following steps:
- step0: Solve for $$R$$:
  $$900=6000\left(1+\frac{R}{100}\times 7\right)$$
- step1: Simplify:
  $$900=6000+420R$$
- step2: Swap the sides:
  $$6000+420R=900$$
- step3: Move the constant to the right side:
  $$420R=900-6000$$
- step4: Subtract the numbers:
  $$420R=-5100$$
- step5: Divide both sides:
  $$\frac{420R}{420}=\frac{-5100}{420}$$
- step6: Divide the numbers:
  $$R=-\frac{85}{7}$$
The rate of interest $$ R $$ is approximately -12.1428571%.

Please note that the negative sign indicates that the interest is being subtracted from the principal, which is not a typical scenario in real-world interest calculations. In most cases, the interest is added to the principal.
The rate of interest $$ R $$ is approximately -12.14%.

\( P=₹ 6000, f=F 900, T=7 \) yeass. Find \( R \) Principal \( =6000 \)

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