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The simple interest of an amount is 1625\frac{16}{25} of the principal. Find the rate % PA, if the time and rate both are numerically equal.

Solution

Correct Option: 1

Given SI =1625P= \frac{16}{25}P and rate == time =n= n. Using SI =PRT100= \frac{PRT}{100}: 1625P=Pnn100\frac{16}{25}P = \frac{P \cdot n \cdot n}{100}. So n2100=1625\frac{n^2}{100} = \frac{16}{25}, giving n2=64n^2 = 64, n=8n = 8. Rate =8%= 8\%.

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