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### Question

The interest on a certain principal sum is 4/9 times the sum. What is R, the rate of interest, if the time is R years?

**A**

$6{2/3}$%.

**B**

7%.

**C**

$7{1/3}$%.

**D**

$6{1/3}$%.

**Soln.**

**Ans: a**

I = P × (4/9), so we can write P × (4/9) = P × (R/100) × R. Cancelling P and solving for R, we get, R = $√{100 × 4/9}$ = $6{2/3}$%.