Question

A person gets 5% per annum interest for first 3 years, 8% for next 3 years
and 9% beyond that by depositing certain sum in the bank. If he gets Rs.
32250 as simple interest for 10 years, how much money did he deposit in
the bank?​

Answer 1

Given :-

• for first 3 years he gets 5% per annum interest .
• for next 3 years he gets 8% per annum interest .
• for next years he gets 9% per annum interest .
• Total simple interest = Rs.32250 .
• Total time = 10 years.

To Find :-

• How much money did he deposit in the bank ?

Solution :-

Let us assume that, he deposit Rs. P in the bank .

we know that,

• SI = (P * R * T)/100

A/q,

→ P at 5% for 3 years + P at 8% for 3 years + P at 9% for 4 years = 32250

→ {(P * 5 * 3)/100} + {(P * 8 * 3)/100} + {(P * 9 * 4)/100} = 32250

→ 15P + 24P + 36P = 32250 * 100

→ 75P = 32250 * 100

→ P = (32250 * 100) / 75

→ P = Rs.43,000 (Ans.)

Hence, He deposit Rs.43,000 in the bank.

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