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Arun purchase a vacuum cleaner of a Rs 1700 followed by 5 installments of 480 each he can also buy at 3900 what is the simple interest?
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Arun purchase a vacuum cleaner of a Rs 1700 followed by 5 installments...
Arun's Purchase and Calculation of Simple Interest
Arun has two payment options for purchasing a vacuum cleaner:
- **Option 1: Installment Purchase**
- Initial cost of the vacuum cleaner: **Rs 1700**
- Number of installments: **5**
- Amount of each installment: **Rs 480**
- Total amount paid through installments:
Calculation:
Total Installments = 5 * 480 = Rs 2400
- **Option 2: One-time Purchase**
- Cost of vacuum cleaner if bought outright: **Rs 3900**
Now, we can calculate the simple interest incurred in the installment purchase option.

Simple Interest Calculation
1. **Total Amount Paid through Installments:**
Rs 2400
2. **Difference from the One-time Purchase Price:**
Difference = Rs 2400 - Rs 1700 = Rs 700
3. **Principal Amount:**
Principal = Rs 1700
4. **Total Interest Paid:**
Simple Interest = Total Installments - Principal
Simple Interest = Rs 2400 - Rs 1700 = Rs 700
5. **Time Period:**
Time = 5 Installments (Assuming each installment is monthly)
6. **Calculating Rate of Interest:**
- Use the formula:
Simple Interest (SI) = (Principal * Rate * Time) / 100
- Rearranging gives:
Rate = (SI * 100) / (Principal * Time)
Rate = (700 * 100) / (1700 * 5) = 8.24%

Conclusion
In conclusion, by opting for the installment plan, Arun incurs a simple interest of **Rs 700**, with an effective rate of approximately **8.24%**. This highlights the cost implications of installment purchases compared to outright buying.
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Arun purchase a vacuum cleaner of a Rs 1700 followed by 5 installments of 480 each he can also buy at 3900 what is the simple interest?
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