With a given rate of simple interest, the ratio of principal and amount for a ce

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With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5 : 7. The rate of interest is

Options:

A . 6%

B . 4%

C . 7%

D . 5%

Answer: Option D
Answer: (d)Using Rule 1,Case-I,Interest = 5x - 4x = x$x = {4x × R × T}/100$T = $25/R$ yearsCase-II,T = $25/R + 3 = ({25 + 3R}/R)$ yearsSI = 7 y - 5y = 2y$2y = {5y × R × (25 + 3R)}/{R × 100}$40 = 25 + 3R3R = 40 –25 = 15 %R = $15/3$ = 5%

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