If a certain sum of money becomes 49 times of itself in 17 years. In how many years it will become 343 times of it self?
Answer & explanation
Correct answer: option 3
Let the sum = P
ATQ,
49P = P(1 + \(\frac{R}{100}\))17 .... (i)
343P = P(1 + \(\frac{R}{100}\))T
from eq. (i) ⇒
(49)\(\frac{1}{17}\) = (1 + \(\frac{R}{100}\))
343 = (49)\(\frac{T}{17}\)
73 = (72)\(\frac{T}{17}\)
73 = (7)\(\frac{2T}{17}\) ⇒ \(\frac{2T}{17}\) = 3
T = \(\frac{51}{2}\) = 25.5 years