Question

a sum of money put at 9% per annum simple interest amount to 10160 in 3 years. What will it amount to in 2 years at 8% per annum

Answer 1

$let \: p \: be \: the \: principal. \\ rate = 9\% \\ time = 3years \\ i = \frac{pr1t1}{100} \\ a1 - p = \frac{pr1t1}{100} \\ = 10160 - p = \frac{p \times 9 \times 3}{100} \\ = 10160 - p = \frac{27p}{100} \\ \\ = \frac{127p}{100} + p = 10160 \\ = \frac{127p}{100} = 10160 \\ = p = 80000 \\ so \: required \: principal = rs \: 80000 \\ now \: r2 = 8\% \: p.a. \\ t2 = 2years \\ now \: i2 = \frac{pr2t2}{100} = \frac{800 \times 8 \times 2}{100} \\ rs = 1280 \\ = a2 = p + i2 = 80000 + 1280 = \\ answer = \: rs \: 9280$

Answer 2

Answer: provided in the image

Step-by-step explanation: