Question
Hitesh divided Rs. 20,100 into two portions. He invested
the first portion at 6% simple interest per annum for 5 years, and the second portion at 20% simple interest per annum for 5 years. If the simple interest earned on the first portion is 4/9 times of the simple interest earned on the second portion, what is the amount of the second portion?Solution
Let first part = Rs. (20100 - x) and second part = Rs. x
SI on first part = (20100 - x) * 6 * 5/100
And SI on second part = x * 20 * 5/100
(20100 - x) * 6 * 5/100 = 4/9 * x * 20 * 5/100
=> 27(20100 - x) = 40x
=> 542700 - 27x = 40x
=> x = 542700 / 67
=> x = Rs. 8100
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