Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum.

Divide 3000 into two parts such that the simple interest on the first

1.	Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum.
Answer» <html><body><p><strong>Step-by-step explanation:</strong></p><p>Let the <a href="https://interviewquestions.tuteehub.com/tag/first-461760" style="font-weight:bold;" target="_blank" title="Click to know more about FIRST">FIRST</a> <a href="https://interviewquestions.tuteehub.com/tag/part-596478" style="font-weight:bold;" target="_blank" title="Click to know more about PART">PART</a> be Rs. x. <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> part =(3000−x) ∴S.I. on x at 8% per annum for 4 years=</p><p>x×8×421</p><p>1005025</p><p> </p><p>=</p><p><a href="https://interviewquestions.tuteehub.com/tag/8x-340330" style="font-weight:bold;" target="_blank" title="Click to know more about 8X">8X</a></p><p>25</p><p> </p><p>S.I. on (3000−x) at <a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a>% per annum =</p><p>(3000−x)×9×21</p><p>10050</p><p> </p><p> =</p><p>27000−9x</p><p>50</p><p> </p><p>∴</p><p>8x</p><p>25</p><p> </p><p>=</p><p>27000−9x</p><p>50</p><p> </p><p>=>8x=</p><p>(27000−9x)×251</p><p>502</p><p> </p><p>=>16x=27000−9x =>16x+9x=27000 =>x=</p><p>270001080</p><p>251</p><p> </p><p>=1080 ∴First part = Rs.1080 </p></body></html>

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Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum. ​

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Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum.