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If the simple interest on 1400 for three years is less than the simple interest on 1800for the same period by 80 rsThen the rate of interest is –?
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If the simple interest on 1400 for three years is less than the simple...
Given:
- Principal amount (P1) = Rs. 1400
- Principal amount (P2) = Rs. 1800
- Time (T) = 3 years
- Difference in interest (I2 - I1) = Rs. 80

To find:
- Rate of interest (R)

Formula:
The formula to calculate simple interest is:
I = (P * R * T) / 100

Step 1: Calculate the interest for the first principal amount:
I1 = (P1 * R * T) / 100

Step 2: Calculate the interest for the second principal amount:
I2 = (P2 * R * T) / 100

Step 3: Calculate the difference in interest:
Difference in interest = I2 - I1

Step 4: Substitute the given values into the equation:
80 = [(1800 * R * 3) / 100] - [(1400 * R * 3) / 100]

Step 5: Simplify the equation:
80 = (5400R - 4200R) / 100
80 = 1200R / 100
80 * 100 = 1200R
8000 = 1200R

Step 6: Solve for R:
R = 8000 / 1200
R = 6.67%

Conclusion:
The rate of interest is 6.67%.
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If the simple interest on 1400 for three years is less than the simple interest on 1800for the same period by 80 rsThen the rate of interest is –?
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