A sum of money lent at simple interest amounts to t 744 in 2 years and

1.	A sum of money lent at simple interest amounts to t 744 in 2 years and to R816 in 3years. Find the sum and the rate percent.
Answer» let the principle be P and rate be R S.I = A - P ATQ 744-P = PR2/100 .....(1) => 744-P = PR/50 => PR = 50(744-P) and also 816-P = 3PR/100...... (2) so, 816-P = 3[50(744-P)]/100=> 81600-100P = 111600-150P=> 50P = 30000=> P = 30000/50 = 600so, R = 50*(744-600)/600 = 12%

A sum of money lent at simple interest amounts to t 744 in 2 years and to R816 in 3years. Find the sum and the rate percent.

Answer»

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

ATQ

744-P = PR*2/100 .....(1) => 744-P = PR/50 => PR = 50(744-P)

and also 816-P = 3PR/100...... (2)

so, 816-P = 3*[50(744-P)]/100=> 81600-100P = 111600-150P=> 50P = 30000=> P = 30000/50 = 600so, R = 50*(744-600)/600 = 12%