Arun bought a car for Rs 3,50,000. The next year, the price went uptoRs 3,70,000. What was the Percentage of price increase?

Options

A. `30/7 %`
B. `40/7%`
C. `45/7%`
D. `50/7%`

Explanation

To find the percentage of price increase for Arun's car, we can follow these steps:

### Step 1: Identify the original price and the new price
- Original price (last year) = Rs. 3,50,000
- New price (this year) = Rs. 3,70,000

### Step 2: Calculate the increase in price
- Increase in price = New price - Original price
- Increase in price = Rs. 3,70,000 - Rs. 3,50,000
- Increase in price = Rs. 20,000

### Step 3: Calculate the percentage of price increase
- Percentage of price increase = (Increase in price / Original price) × 100
- Percentage of price increase = (Rs. 20,000 / Rs. 3,50,000) × 100

### Step 4: Simplify the fraction
- To simplify, we can cancel Rs. 20,000 with Rs. 3,50,000:
- Rs. 20,000 = Rs. 20 × 1000
- Rs. 3,50,000 = Rs. 3,50 × 1000
- So, we have:
- Percentage of price increase = (20 / 3,50) × 100

### Step 5: Further simplify the fraction
- Dividing both numerator and denominator by 5:
- 20 ÷ 5 = 4
- 3,50 ÷ 5 = 7
- Now we have:
- Percentage of price increase = (4 / 7) × 100

### Step 6: Calculate the final percentage
- Percentage of price increase = (4 × 100) / 7
- Percentage of price increase = 400 / 7

### Step 7: Convert to mixed fraction
- Dividing 400 by 7 gives:
- 7 goes into 400, 57 times (7 × 57 = 399)
- Remainder = 1
- So, we can express it as:
- 57 + (1/7)
- Therefore, the percentage of price increase = 57 1/7%

### Final Answer:
The percentage of price increase is **57 1/7%**.

---