Correct Answer - Option 2 : 23,200
Given:
A person invested one-third of his money at the rate of interest = \(3\frac{1}{2}\% \)
one-fourth of his money at the rate of interest = \(7\frac{1}{2}\% \)
Remaining money at the rate of interest = 8%
Simple interest yearly = 1479
Formula used:
Simple interest = PTR/100
Calculations:
Let the sum of money be x
1/3rd of amount = x/3
1/4 th of amount = x/4
Reamining amount = x - x/3 - x/4
⇒ (12x - 4x - 3x)/12 = 5x/12
Simple interst = [(x/3) × \(3\frac{1}{2}\) + (x/4)( \(7\frac{1}{2}\)) + (5x/2) × 8]/100
⇒ [(x/3) × (7/2) + (x/4)(15/2) + (5x/2) × 8]/100 = [(7x/6 + 15x/8 + 40x/2]/100
⇒ [(28x + 45x + 80x)/24]/100 = 153x/2400
Accordingly,
1479 = 153x/2400
⇒ x = 1479 × 2400/153
⇒ x = 23200
∴ The sum of amount is 23200