Question

A sum of money at simple interest amounts to rupees 875 in 3 years and to rupees 900 in 4 years find the sum​

Answer 1

Step-by-step explanation:

Interest for 1 year= (925 – 850) = 75 Rs.

∴ If a sum becomes $latex a_{1}$ in $latex t_{1}$ years and $latex a_{2}$ in $latex t_{2}$ years then rate of interest

$latex = \frac{100(a_{2}-a_{1})}{a_{1}t_{2} – a_{1}t_{1}}\%&s=1$

$latex = \frac{100(925-850)}{850\times 4- 3\times 925} = \frac{7500}{625} = 12\%&s=1$

$latex \therefore Principal = \frac{SI\times 100}{Time\times Rate}&s=1$