the interest on rupees 2500 for 3 months at 8%
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Given that the simple interest on Rs. 2500 at the rate of 8% per annum be the same as the simple interest on Rs. 3000 at the rate of 9.75% per annum for 5 years.
It is required to find the time at which both the simple interest will be the same.
The formula to find the simple interest is given by
S I=\frac{P \times n \times r}{100}SI=
100
P×n×r
Hence, we have,
\frac{2500 \times n \times 8}{100}=\frac{3000 \times 5 \times 9.75}{100}
100
2500×n×8
=
100
3000×5×9.75
Multiplying, we get,
\frac{20000 \times n }{100}=\frac{146250}{100}
100
20000×n
=
100
146250
Dividing, we get,
{200 \times n }=1462.5200×n=1462.5
Taking 200 to the RHS, we get,
n=\frac{1462.5}{200}n=
200
1462.5
Simplifying, we get,
n=7.3n=7.3
Thus, in 7 years and 3 months the simple interest on Rs 2500 at the rate of 8% per annum be the same as the simple interest on Rs 3000 at the rate of 9.75% per annum for 5 years.
Therefore, the time taken for the both the simple interest to be same is 7 years and 3 months.
Learn more:
(1) If simple interest for a sum of rs 3100 for 4 years is rs 40 more than the simple interest of rs 2900 for the same duration at the same rate of interest then the rate of interest is
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(2) Calculate the time required for the simple interest earned on ₹3000 at the rate of 4% per annum to be equal to the simple interest on ₹8000 at the rate of 8% per annum for 3 year