Question

Any money goes to 20925 rupes in 2 years and Rs 24512.50 in 5 years find RATE? & PRINCIPLE?

Answer 1

$\bold{given : } \\ \\ \bold{amount \: after \: 2 \: yrs :} \\ \\ 20925 \: rs \: \\ \\ \bold {amount \: after \: 5 \: yrs : }\\ \\ 24512.50 \\ \\ \\ \\ \bold{means : }\\ \\ interest \: after \: 2 \: yrs+ principle = 20925 \: rs \\ \\ interest \: after \: 5 \: yrs+ principle = 24512.50 \: rs \: \\ \\ \\ \\ interest \: after \: 5 \: yrs \: + \: principle \: \\ - \\ interest\: after \: 2 \: yrs \: + \: principle \: \\ - - - - - - - - - - - - - - \\ \bold {interest \: after \: 3 \: yrs\: }\\ \\ \\ \\ amount \: after \: 5 \: yrs \: \\ - \\ amount \: after \: 2 \: yrs \\ \\ - - - - - - - - - \\ \bold {simple \: interest \: after \: 3 \: years \: }\\ \\ \\ \\ 24512.50 \\ - \\ 20925 \\ - - - - - \\ \bold {3587.50 \: rs \:} \\ \\ \\ \\ \bold{simple \: interest \: after \: 1 \: yr : } \\ \\ \frac{3587.50}{3} \\ \\ 1195.833 \: rs \: \\ \\ \\ \\ \bold {simple \: interest \: after \: 2 \: yrs : }\\ \\ 1195.833 \times 2 \\ \\ 2391.66 \: \\ \\ \\ \\ \bold{principle : } \\ \\ amount \: after \: 2 \: yrs \: \\ - \\ \: interest \: after \: 2 \: yrs \: \\ - - - - - - - - - - \\ \bold {principle=18533.334 \: rs \:} \\ \\ \\ \\ \bold{simple \: interest : } \\ \\ \bold {\frac{p \times t \times r}{100} }\\ \\ here : \\ \\ p \: = \: principle \: \\ \\ t \: = \: time \: \\ \\ r \: = \: rate \: of \: interest \: \\ \\ \\ \\ 1195.833 = \frac{p \times 1 \times r}{100} \\ \\ 1195.833 \times 100 = p \times r \\ \\ 119583.33 = p\times r \\ \\ 119583.3 = 18533.334 \times r \\ \\ \frac{119583.33}{18533.334} = r \\ \\ \bold {rate \:of\: interest = 6.45\%}$