If Rs. 44550 amounts to Rs. 62370 in 5 years at a given rate of intere...
Calculating Time Period for a Given Amount
- Given:
Principal amount (P) = Rs. 49300
Amount after 5 years = Rs. 88740
Amount after x years = ? (to be calculated)
Calculating Rate of Interest
- Using the formula for simple interest:
SI = P * R * T / 100
Calculating Time Period
- Using the formula for amount:
A = P + SI
Rs. 88740 = Rs. 49300 + SI
- Calculate the Simple Interest:
SI = Rs. 88740 - Rs. 49300
SI = Rs. 39440
- Calculate the rate of interest:
Rs. 39440 = Rs. 49300 * R * T / 100
- Substitute the values:
39440 = 49300 * R * 5 / 100
- Solve for R:
R = (39440 * 100) / (49300 * 5)
- Calculate the time period:
Rs. 62370 = Rs. 44550 + (44550 * R * 5 / 100)
- Substitute the calculated rate of interest:
Rs. 62370 = Rs. 44550 + (44550 * R * 5 / 100)
- Solve for time period:
Rs. 62370 = Rs. 44550 + (44550 * 39440 * 100) / (49300 * 5 * 100)
- x = 9 years
Therefore, Rs. 49300 will amount to Rs. 88740 in 9 years at the same rate of interest.