Question
A fixed sum is lent out in two parts in such a way that
the interest on the first part at 1 percent for 1 year is equal to that on the second part at 2% for 2 years. Find he square root of the ratio of the first part to the second part.Solution
Let the amount lent be m, first par t be x and second part be y. Thus, m = x + y From the above we know, Simple Interest = ( P × R × T ) / 100 Interest on first part at 1% for 1 year = Interest on second part at 2% for 2 years ( x × 1 × 1 ) / 100 = ( y × 2 × 2 ) / 100 x = 4y x / y = 4 √ ( x / y ) = 2 So, The square root of the ratio between the first part and the second part is 2.
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