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A farmer borrowed rupees 5300 at 8 percent interest per annum at the end of 2 hole 1 by 2 years he cleared his account by paying rupees 4600 and a watch Find the cost of watch?
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A farmer borrowed rupees 5300 at 8 percent interest per annum at the e...
Understanding the Loan Details
The farmer borrowed an amount of rupees 5300 at an interest rate of 8% per annum. The loan period is 2.5 years (2 years and 6 months).
Calculating the Total Interest
To find out how much interest the farmer has to pay, we first calculate the total interest over 2.5 years.
- Principal Amount (P): 5300
- Rate of Interest (R): 8% per annum
- Time (T): 2.5 years
The formula for simple interest is:
Interest = P × R × T / 100
Now, substituting the values:
- Interest = 5300 × 8 × 2.5 / 100
- Interest = 1060
Total Amount to be Paid
Next, we determine the total amount the farmer needs to pay back:
- Total Amount = Principal + Interest
- Total Amount = 5300 + 1060 = 6360
Paying Off the Debt
The farmer cleared his account by paying rupees 4600 in cash along with a watch.
Finding the Cost of the Watch
To find the cost of the watch, we can use the following calculation:
- Amount Paid = 4600 + Cost of Watch
- Total Amount = 6360
Setting up the equation gives:
- 4600 + Cost of Watch = 6360
Thus,
- Cost of Watch = 6360 - 4600
- Cost of Watch = 1760
Conclusion
The cost of the watch that the farmer used to clear his account is rupees 1760.
Community Answer
A farmer borrowed rupees 5300 at 8 percent interest per annum at the e...
Cost of watch is ₹1760
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A farmer borrowed rupees 5300 at 8 percent interest per annum at the end of 2 hole 1 by 2 years he cleared his account by paying rupees 4600 and a watch Find the cost of watch?
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