A person invested Rs. Q in a bank at a 25% rate of simple interest for 4 years and received Rs. 5000 as the total amount. If Rs. 1.5Q is invested in another bank at a 10% rate of simple interest for 5 years, then find the simple interest received (in Rs).

Correct option is C

Information Given:
A person invested Rs. Q in a bank at a 25% rate of simple interest for 4 years and received Rs. 5000 as the total amount.
Rs. 1.5Q is invested in another bank at a 10% rate of simple interest for 5 years.
Formulas Used:
Simple interest = $$\frac{\text{Principal} \times \text{Time period} \times \text{Rate of interest}}{100}$$​
Amount = Principal + Interest
Basic Explanation:
ATQ,
$$Q + \left(Q \times \frac{25}{100} \times 4\right) = 5000$$​
Q + Q = 5000
Q = 2500
Amount invested in other bank = 1.5Q = Rs 3750
Required interest = $$3750 \times \frac{10}{100} \times 5$$​= Rs 1875

Exam Hall Method: