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# How long will it take for a sum of Rs 12600 invested at 9% per annum become to Rs 15624.

**Given:** A sum of Rs 12600 invested at 9% per annum become to Rs 15624.

**To find:** Here we have to find how much time will it take for a sum of Rs 12600 invested at 9% per annum become to Rs 15624.

**Solution:**

Principle(P) = Rs 12600

Rate (R) = 9%

Amount (A)= Rs 15624

Time = T

Therefore,

S.I = A $-$ P

S.I = Rs 15624 $-$ 12600

S.I = Rs 3024

Also,

$S.I\ =\ \frac{P\ \times\ R\ \times\ T}{100}$

$3024\ =\ \frac{12600\ \times\ 9\ \times\ T}{100}$

$3024\ =\ 126\ \times\ 9\ \times\ T$

$T\ =\ \frac{3024}{126\ \times\ 9}$

$T\ =\ \frac{8}{3}$ years

**T = 2 years 8 months**

So, time required is 2 years 8 months.

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