Question

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 2years at 9% per annum
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Answer 1

Solution :-

Let us Assume That, First Part is Rs. X.

Than,

→ First Part = Rs.x

→ Rate = 8%

→ Time = 4 Years.

And,

→ second Part = (3000 - x)

→ Rate = 9%

→ Time = 2 Years.

Given That, Simple interest on Both Part is same..

Putting values on (P * R * T)/100 , and Equating them , we get :-

→ (x * 8 * 4)/100 = [(3000 - x) * 9 * 2 ] /100

→ 32x = 18(3000 - x)

→ 32x = 54000 - 18x

→ 32x + 18x = 54000

→ 50x = 54000

→ x = (54000)/50

→ x = Rs.1080 .

Hence,

→ First Part = x = Rs.1080 (Ans.)

→ second Part = (3000 - x) = (3000 - 1080) = Rs.1920 (Ans.)

Therefore, Both Parts are Rs.1080 & Rs.1920.

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