A certain sum of money double itself in 8 years In how much time will it become 4 times - Maths - Data Handling

Question

A certain sum of money double itself in 8 years In how much time
will it become 4 times of itself at the same rate of interest

Varun Rawat · Accepted Answer

Let the sum of money = Rs xTime, T = 8 yrsNow, Amount = Rs 2xNow, SI = PRT100⇒A - P = PRT100⇒2x - x = x × R × 8100⇒x = 2Rx25⇒R = 252So, rate of interest = R = 252% p
a
Suppose it becomes 4 times of itself in y yrs
Now, Amount, A1 = Rs 4xTime, T = yrsRate, R = 252% p
a
SI = PRT100⇒A1 - P = PRT100⇒4x - x = x ×25×y200⇒3 = 25y200⇒y = 24So, required time is 24 yrs

A certain sum of money double itself in 8 years. In how much time will it become 4 times of itself at the same rate of interest.