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# The SI on a sum of money is $\frac{9}{16}$ of the sum. If the rate of interest is $\frac{9}{2}$ per annum, find the time.

**Given:** SI on sum of money is $\frac{9}{16}$SI of sum

Rate of interest is $\frac{9}{2}$

**To do :** Find the value of time

**Answer**

R = $\frac{9}{2}$ p.a. T = ?

Let the sum of money, P = Rs 100

SI on this sum = $\frac{9}{16} \times 100 = \frac{900}{16}$

= Rs $\frac{225}{4} = \frac{PTR}{100}$

$\frac{(100 \times T \times \frac{9}{2})}{100} = \frac{225}{4}$

T = $\frac{225}{4} \times {2}{9} = \frac{25}{2}$ = 12.5 years

**So T$ = 12.5$ years
**

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