borrowed ₹1,400 at the rate of $$ 6 \%(p . a) $$ years and 5 months. It Find the amount she paid back.

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UpStudy AI · Accepted Answer

To find the total amount paid back after borrowing ₹1,400 at an interest rate of $$ 6\% $$ per annum for a period of 5 months, we can follow these steps:

1. **Identify the known values:**
   - Principal amount ($$ P $$) = ₹1,400
   - Rate of interest ($$ R $$) = $$ 6\% $$ per annum
   - Time ($$ T $$) = $$ 5 $$ months = $$ \frac{5}{12} $$ years

2. **Calculate the interest using the formula:**
   $$
   I = \frac{P \times R \times T}{100}
   $$
   where $$ I $$ is the interest.

3. **Calculate the total amount paid back:**
   $$
   A = P + I
   $$
   where $$ A $$ is the total amount paid back.

Now, let's perform the calculations step by step.

### Step 1: Calculate the interest

Using the formula for interest:
$$
I = \frac{1400 \times 6 \times \frac{5}{12}}{100}
$$

### Step 2: Calculate the total amount paid back

After calculating the interest, we will add it to the principal to find the total amount paid back.

Let's perform the calculations.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(1400\times 6\times \frac{5}{12}\right)}{100}$$
- step1: Remove the parentheses:
  $$\frac{1400\times 6\times \frac{5}{12}}{100}$$
- step2: Multiply the terms:
  $$\frac{3500}{100}$$
- step3: Reduce the fraction:
  $$35$$
Calculate or simplify the expression $$ 1400 + 35 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1400+35$$
- step1: Add the numbers:
  $$1435$$
### Step 1: Calculate the Interest
The interest calculated is:
$$
I = ₹35
$$

### Step 2: Calculate the Total Amount Paid Back
The total amount paid back is:
$$
A = ₹1400 + ₹35 = ₹1435
$$

Thus, the total amount she paid back is **₹1,435**.
She paid back ₹1,435.

borrowed ₹1,400 at the rate of
years and 5 months. It Find the amount she
paid back.

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borrowed ₹1,400 at the rate of years and 5 months. It Find the amount she paid back.