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:
Answer & explanation
Correct answer: option 3
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
Interest1 = 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