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Peterparker2
How are the interests equal? In the question it stated that the investments are equal. Doesn't it mean only principal values are equal?
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Mr. X deposited 5000 $ in a bank that offers 10% rate of interest per annum. After few years, post Mr. X investment, Mr. Y deposited the same amount in another bank that offers 16% rate of interest per annum. If their investment become equal after 8 years from the time when Mr. X did the investment. Find the time difference between Mr. X's and Mr. Y's investment.

A) 2 years
B) 3 years
C) 4 years
D) 5 years
E) 6 years
In 8 years, $5000 at 10% rate of interest per annum will earn: \(5000*\frac{10}{100}*8\) = $4000 in interest.

Whereas, at 16% rate of interest per annum, earning $4000 as interest will take: \(5000*\frac{16}{100}*x=4000\) => x = 5 years.

Thus Mr. Y deposited $5000 after 3 years of Mr. X

Answer B.
The first highlighted part signifies that their principal is equal, the second part signifies that after 8 years their investment (Principal + Interest) is equal, and since we already know that the principal was equal, for the investment to be equal the interest should be equal as well.
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Hi,
Just a little doubt. It says that the investments are equal after 8 years. I thought investment meant principal, not amount(interest+ prinicipal)

Krunaal
The first highlighted part signifies that their principal is equal, the second part signifies that after 8 years their investment (Principal + Interest) is equal, and since we already know that the principal was equal, for the investment to be equal the interest should be equal as well.
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Hi,
Just a little doubt. It says that the investments are equal after 8 years. I thought investment meant principal, not amount(interest+ prinicipal)

Krunaal
The first highlighted part signifies that their principal is equal, the second part signifies that after 8 years their investment (Principal + Interest) is equal, and since we already know that the principal was equal, for the investment to be equal the interest should be equal as well.
After an investment, which is just principal initially, goes through a period of 8 years, the value of your investment increases => this increase is nothing but the interest you've earned in those 8 years. Hence, after 8 years, your Investment = Principal + Interest earned in those 8 years.
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