A sum of ₹27,000 is divided into two parts A and B such that the simple interest at the rate of 15% p.a. on A and after two years and four years, respectively, is equal. The total interest (in ₹) received together from A and B is:
Answer & explanation
Correct answer: option 4
Total Principal = Rs 27000 ( 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
ATQ
3 part = 27000
1 part = 9000
Principal ( X) = 2× 9000 = Rs 18000
Principal ( Y) = 1× 9000 = Rs 9000
Total Interest = Rs Interest1 + Interest 2
= \(\frac{18000×15× 2 }{100}\) + \(\frac{9000×15× 4 }{100}\)
= 5400+ 5400
= Rs 10800