A sum of money becomes 3000 in 2 years and 3250 in 3 years. Find the p

1.	A sum of money becomes 3000 in 2 years and 3250 in 3 years. Find the principaland the rate of interest.
Answer» let the principle be P and rate be R S.I = A - P ATQ 3000-P = PR2/100 .....(1) => 3000-P = PR/50 => PR = 50(3000-P) and also 3250-P = 3PR/100...... (2) so, 3250-P = 3[50(3000-P)]/100=> 325000-100P = 450000-150P=> 50P = 125000 => P = 125000/50 = 2500.so, R = 50*(500)/2500 = 10%

A sum of money becomes 3000 in 2 years and 3250 in 3 years. Find the principaland the rate of interest.

Answer»

let the principle be P and rate be R S.I = A - P

ATQ

3000-P = PR*2/100 .....(1) => 3000-P = PR/50 => PR = 50(3000-P)

and also 3250-P = 3PR/100...... (2)

so, 3250-P = 3*[50(3000-P)]/100=> 325000-100P = 450000-150P=> 50P = 125000 => P = 125000/50 = 2500.so, R = 50*(500)/2500 = 10%