hari borrowed rs.3000 from his friend for 4 years 6 months 16 %per annum . What is the total amount he has to pay after 4 years 6 months ? please give me full solution
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Hari borrowed Rs.12600 from a moneylender at 15% per annum simple interest. After 3 years, he paid Rs. 7070 and gave a goat to clear off the debt. What is the cost of the goat?
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Hint: In mathematics, simple interest is used to calculate the interest on a certain amount. Simple interest is paid at the end of a specific time period and is always a fixed amount that the borrower has to pay. It is calculated by using the formula:
S.I.=P×T×R100S.I.=P×T×R100
After calculating the value of S.I., the principal is added to it to get the total amount that the borrower has to give. Its formula is given by:
Amount = P + S.I.Amount = P + S.I.
In this question, we have to calculate the value of interest then calculate the amount. Here the amount is equal to the sum of the amount paid after 3 years and the cost of the goat.
Complete step-by-step answer:
According to the question,
Principal (P) = Rs.12600
Rate (R) = 15%
Time (T) = 3 years
After 3 years, he will pay back money with interest hence, we have to calculate the simple interest first
Simple Interest (I) = P×T×R100P×T×R100
I=12600×15×3100I=12600×15×3100
I=126×15×3I=126×15×3
I=5670I=5670
Therefore, the interest paid on the principal amount is Rs.5670
Amount to be paid after 3 years = P+I
P+I
Amount = 12600 + 5670Amount = 12600 + 5670
Amount = Rs.18270Amount = Rs.18270
Hari pays Rs.7070 and a goat to clear off the debt after 3 years.
So, Amount = 7070 + Cost of goat
Let the cost of goat be x,
18270=7070+x18270=7070+x
x=18270−7070x=18270−7070
x=11,200x=11,200
Therefore, the cost of the goat is Rs.11,200.
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