Math, asked by govind5970, 1 year ago

a total amount of RS 7000 is deposited in three different saving bank account with annual interest rates 5% ,8%,8 1/2% respectively the total annual interest from these three acount is rs 500.ezual amount have been deposited in 5%,8% account.find the amount deposited in each of there account with the help of matrics.

Answers

Answered by TooFree
8

Answer:

5% account = Rs 2375 , 8% account = Rs 2375,  8.5% account = Rs 2350


Step-by-step explanation:

Define x:

Let the amount deposited into the 5% account be x


Equal amount have been deposited in 5% and 8% account

⇒ The amount deposited into the 8% account is also x


Find the amount deposited into the 8,5% account:

Amount deposited into 8.5% account = 7000 - x - x

Amount deposited into 8.5% account = 7000 - 2x


Solve x:

Total interest received is Rs 500

0.05x + 0.08x + 0.085(7000 - 2x) = 500

0.05x + 0.08x + 595 - 0.17x = 500

0.04x = 95

x = Rs 2375


Find the amount deposited in each account:

5% account = x = Rs 2375

8% account = x = Rs 2375

8.5% account = 7000 - 2x = 7000 - 2(2375) = Rs 2250


Answer: 5% account = Rs 2375 , 8% account = Rs 2375,  8.5% account = Rs 2350



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