If Rs.12,000 is divided into two parts such that the simple interest on the firs

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If Rs.12,000 is divided into two parts such that the simple interest on the first part for 3 years at 12% per annum is equal to the simple interest on the second part for 4$1/2$ years at 16% per annum, the greater part is

Options:

A . Rs.6,000

B . Rs.8,000

C . Rs.7,500

D . Rs.7,000

Answer: Option B
Answer: (b)Using Rule 1,Let the larger part of the sum be xSmaller part = Rs.(12000 - x)According to the question,${x × 3 × 12}/100 = {(12000 - x) × 9 × 16}/{2 × 100}$36 x = (12000 - x ) 72x = (12000 - x ) × 2x + 2x = 240003x = 24000$x = 24000/3$ = Rs.8000

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