Correct Answer - Option 1 : Rs. 9,000; Rs. 41,000
Given:
A person invested Rs.50,000.
The rate of interest is partly at10% and 12% p.a.
The total interest received after 2 years is Rs.11,640.
Formula Used:
SI = P × R × T
Here, P = Principal, R = Rate, T = Time
Calculation:
Let the first part investment be x.
Let the second part investment be (50000 - x).
Simple interest at 10% for 2 years = (x × 10 × 2)/100 = x/5
Simple interest at 12% for 2 years = [(50000 - x) × 12 × 2)/100 = 6(50000 - x)/25
The total interest received after 2 years is Rs.11,640.
⇒ x/5 + 6(50000 - x)/25 = 11,640
⇒ (5x + 300000 - 6x)/25 = 11,640
⇒ x = 9000
The first part investment part is Rs.9000.
The second part investment part = 50000 - 9000 = Rs.41000
∴ The first and the second part of the investment is Rs.9000 and Rs.41000.