Correct Answer - Option 2 : Rs.1600, Rs.1200
Given:
Rate (R1) = 9%, Rate (R2) = 10%
Time (T1) = 5 years, Time (T2) = 6 years
Formula Used:
Simple Interest (I) = (P × R × T)/100
where p = principal
R = rate
T = time
Calculations:
Let the first part be Rs. x.
Second part = Rs.(2800 – x)
According to the question,
\(\frac{x\ ×\ 9\ ×\ 5}{100}\ =\ \frac{(2800\ -\ x)\ × \ 10\ ×\ 6}{100}\)
⇒ 45x = 60 × 2800 - 60x
⇒ 105x = 60 × 2800
⇒ x = 1600
Second part = 2800 - 1600 = 1200
∴ the correct answer is 1600 and 1200.