Arman wanted to have Tk. 39,200 as interest after 5 years. He has invested an amount in an account for 1 year at 8% interest rate. From the 2nd year he invested the principal amount in another account offering 10% interest for 3 years. At the beginning of the fifth year he invested the principal amount in another account at rate of 11%. What was the principal amount? (assume simple interest rate)

Arman wanted to have Tk. 39,200 as interest after 5 years. He has invested an amount in an account for 1 year at 8% interest rate. From the 2^nd year he invested the principal amount in another account offering 10% interest for 3 years. At the beginning of the fifth year he invested the principal amount in another account at rate of 11%. What was the principal amount? (assume simple interest rate)

A Tk. 50,000

B Tk. 80,000

C Tk. 90,000

D Tk. 70,000

Solution

Correct Answer: Option B

মনে করি, Principal = P
Now, 8% এ interest = P x 1 x 0.08 = 0.08P
10% এ interest = P x 3 x 0.10 = 0.30P
11% এ interest = P x 1 x 0.11 = 0.11P
Now, 0.08P + 0.3P + 0.11P = 39200
⇒ P = 39200/0.49 = 80000

Solution

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