Question

Rupees 16000 is divided into 2 parts, first part is invested @ 4% per annum and second @ 5% per annum simple interest.The total interest per annum is Rs 700.Find sum of first and second part?

Answer 1

let the first part be x
second part is 16000-x
ATQ
$\frac{x \times 4 \times 1}{100} + \frac{(16000 - x) \times 5 \times 1}{100} = 700 \\ 4x + 80000 - 5x = 70000 \\ 80000 - x = 70000 \\ x = 80000 - 70000 \\ x = 10000 \\ \\ first \: part \: = 10000rs \\ second \: part = 16000 - 10000 = 6000rs$