A sum is divided into three parts such that the second part is 2,000 more than the first, and the third part is 5,000 more than the first. The first part is invested at 5% p.a. simple interest for 3 years, the second at 7% p.a. for 4 years, and the third at 9% p.a. for 5 years. If the total simple interest received from the three parts after their respective periods is 4,746, find the three parts.
A.2,000, 4,000, 7,000
B.2,400, 4,400, 7,400
C.2,500, 4,500, 7,500
D.2,200, 4,200, 7,200✓ Correct
Explanation
Let the first part be x. Setting up the SI equation: (x×5×3)/100 + (x+2000)×7×4/100 + (x+5000)×9×5/100 = 4746 gives 88x = 193600, so x = 2200. The three parts are 2200, 4200, and 7200.
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