Divide Rs 3600 into two parts such that the simple interest on the first part for 4 years at 8% - Maths -

Question

Divide Rs 3600 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

Aravind K T · Accepted Answer

Let the first part be RS x
Second part = Rs(3600-x)
S I=PTR/100
x X 4 X 8 / 100 = (3600-x) X 2 X 9 /
100
32x = 3600 X 18-18x
32x + 18x = 64800
50x = 64800
x = 64800/50 = RS1296
Second part = 3600-1296=Rs2304
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Divide Rs.3600 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