Annie invested a certain sum of money in a bank that paid simple interest. The amount grew to Tk. 240 at the end of 2 years. She waited for another 3 years and got a final amount of Tk. What was the principal amount that she invested at the beginning?    

A     200

B    150

C    210

D    175

Solution

Correct Answer: Option A

 

The sum grew to 240 at the end of 2 years.

At the end of another 3 years, the sum grew to  300.

i.e. in 3 years, the sum grew by  60.

Therefore, each year, it grew by  20.

Sum at the end of 2 years =  240

Sum grew by  20 each year.

Hence, in the first 2 years, sum grew by 2 * 20 =  40.

Therefore, sum at the beginning of the period = Sum at the end of 2 years - 40 =  240 -  40 =  200.

    

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