$$ \frac{ ext { Extra Questions - HW }}{ ext { 1. John borrowed Rs } 75000 ext { from his friend and after one year returned Rs } 80000 ext { to his friend. Find }} $$ the interest

Question

$$ \frac{	ext { Extra Questions - HW }}{	ext { 1. John borrowed Rs } 75000 	ext { from his friend and after one year returned Rs } 80000 	ext { to his friend. Find }} $$ the interest

UpStudy AI · Accepted Answer

To determine the interest John paid to his friend, we can use the simple interest formula. Here's a step-by-step solution:

### Given:
- **Principal (P)**: ₹75,000 (the amount borrowed)
- **Total Amount Repaid (A)**: ₹80,000
- **Time (T)**: 1 year

### To Find:
- **Interest (I)**

### Solution:

1. **Understand the Relationship**:
   
   The total amount repaid $$ A $$ is the sum of the principal $$ P $$ and the interest $$ I $$:
   $$
   A = P + I
   $$

2. **Rearrange the Formula to Find Interest**:
   
   $$
   I = A - P
   $$

3. **Substitute the Given Values**:
   
   $$
   I = ₹80,000 - ₹75,000 = ₹5,000
   $$

### Conclusion:

John paid **₹5,000** as interest to his friend after one year.

---

### **Additional Information (Optional): Calculating the Interest Rate**

If you're also interested in finding out the **interest rate**, you can use the simple interest formula:
$$
I = \frac{P \times R \times T}{100}
$$
Where:
- $$ I $$ = Interest
- $$ P $$ = Principal
- $$ R $$ = Rate of Interest per annum
- $$ T $$ = Time in years

**Rearranging to find $$ R $$:**
$$
R = \frac{I \times 100}{P \times T}
$$

**Substitute the Known Values:**
$$
R = \frac{₹5,000 \times 100}{₹75,000 \times 1} = \frac{500,000}{75,000} = 6.\overline{6}\% \text{ per annum}
$$

So, the **interest rate** is approximately **6.67%** per annum.
John paid ₹5,000 as interest to his friend after one year.

the interest

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