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
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