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In what time will the interest on Rs.350 amount to Rs.42 at 7% p.a. simple interest?
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In what time will the interest on Rs.350 amount to Rs.42 at 7% p.a. si...
Understanding Simple Interest
Simple interest is calculated using the formula:
- Simple Interest (SI) = (Principal × Rate × Time) / 100
Where:
- Principal = Initial amount of money (Rs.350)
- Rate = Interest rate per annum (7%)
- Time = Time period in years (unknown)
Given Information
- Principal (P) = Rs.350
- Total Interest (SI) = Rs.42
- Rate (R) = 7%
Calculating Time
To find the time, we can rearrange the simple interest formula:
- Time (T) = (SI × 100) / (Principal × Rate)
Now, substituting the given values:
- SI = Rs.42
- P = Rs.350
- R = 7%
Substituting Values
- Time (T) = (42 × 100) / (350 × 7)
Calculating Step by Step
1. Calculate the denominator:
- 350 × 7 = 2450
2. Calculate the fraction:
- 42 × 100 = 4200
- Now, divide 4200 by 2450:
- T = 4200 / 2450 ≈ 1.7143 years
Final Answer
The time required for the interest on Rs.350 to amount to Rs.42 at a rate of 7% per annum simple interest is approximately 1.71 years.
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In what time will the interest on Rs.350 amount to Rs.42 at 7% p.a. simple interest?
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