With a given rate of simple interest the ratio of the principle and amount for

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

Options:

A . 4 %

B . 5 %

C . 6 %

D . 7 %

Answer: Option B

After t years. Let P = Rs 4x and amount = Rs 5x
P + S.I for t years = Rs 5x ---(i)
P = [P + S.I for (t + 3) Years] = 5 : 7 = 1 : 7/5
= 4x: (7/5 — 4x) = 4x : 28x/5
Therefore, P + S. I for (t+3) Years = Rs 28x /5---- (ii)
On subtracting, we get
S. I for 3 Years = Rs (28x/5 “ 5x)
= Rs 3x/5
S.I on Rs 4x for 3 Years = Rs 3x /5
Therefore, Rate =

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