Question

What principal will amount to ₹ 900 in 6 years at 10% Simple Interest?​

Answer 1

$\color{cyan}{Answer}$

Time = 6 yrs

Rate = 10%

Amount = 900

Let the principal be rupees x

$si = \frac{prt}{100} \\ si = \times x10 \times \frac{6}{100} \\ si = \frac{3x}{5}$

$\color{cyan}{Principle + SI = Amount}$

$x + \frac{3x}{5} = 900 \\ 5x + \frac{3x}{5} = 900 \\ \frac{8x}{5} = 900 \\ 8x = 900 \times 5 \\ x = 900 \times \frac{5}{8} \\ x = \frac{1125}{2} \\ x = rupees \: 562.5$