A sum of Rs. 36,000 is divided into two parts A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:

A. 7,200

B. 5,400

C. 3,600

D. 1,800

Answer: Option A

Solution(By Examveda Team)

\[\begin{array}{*{20}{c}} A&B \\ x&{36000 - x} \end{array}\]
$$\eqalign{ & {\text{As per question}} \cr & x \times 30 = \left( {36000 - x} \right) \times 60 \cr & x = 72000 - 2x \cr & x = 24000 \cr & {\text{So interest from }}A \cr & = 24000 \times \frac{{30}}{{100}} \cr & = 7200 \cr} $$