ExpertsGlobal5
Ari invested a certain amount of money at a bank offering r% yearly simple interest and the same amount in another bank offering (r + 1)% yearly simple interest. What was the amount of money Ari invested in the second bank?
(1) r = 4
(2) At the end of two years, the money invested in the second bank earned $150 more interest than the money invested in the first bank.
Explanation: Let the amount of money Ari invested be P.
The interest rate in the first bank =
rThe interest rate in the second bank =
r + 1
We need to find whether the value of P can be determined. Statement (1) r = 4
Since
no information is provided regarding the duration of the investment and the interest earned, it is NOT possible to determine the value of P.
Hence, Statement (1) is insufficient. Statement (2) Interest earned = (Amount Invested x Duration of Investment x Rate of Interest) / 100
Interest earned from the first bank = P x 2 x
r / 100 = 2P
r / 100
Interest earned from the second bank = P x 2 x (
r + 1) / 100 = 2P(
r + 1) / 100
Since the interest earned from the second bank is $150 more than the interest earned from the first bank:
2P(
r + 1) / 100 = 150 + 2Pr / 100
2P
r / 100 + 2P/100 = 150 + 2P
r / 100
Cancelling 2P
r / 100 from both sides, we get:
2P/100 = 150
It is possible to determine the value of P.
Hence, Statement (2) is sufficient. B is the correct answer choice.