A sum of ₹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 ₹) received from each Part is:

7,200

Total Principal = Rs 36000 ( X + Y)

It is divided into parts .

First part at 15% in 2 years at Principal ( X)

First part at 15% in 4 years at Principal ( Y)

Interest = \(\frac{Principal ×Rate × Time }{100}\)

ATQ

Interest_{1  =}  Interest ₂

\(\frac{X ×15×2}{100}\) =\(\frac{Y×15×4}{100}\)

2X =  4Y

X :  Y

2: 1

A.T.Q

3  part =  36000

1 part =  12000

Principal ( X) = 2× 12000 =  Rs 24000

Principal ( Y) = 1× 12000 =  Rs 12000

Total Interest = Rs  Interest₁  + Interest ₂

                       = \(\frac{24000×15× 2 }{100}\) + \(\frac{12000×15× 4 }{100}\   = 7200 + 7200  = Rs 14400

Interest on Each part =  Rs 7200