Answer:
The sum is Rs 1,250 and Rs 650
Step-by-step explanation:
Let the amounts be represented as $x and $y
The sum of both is 1900
Thus;
x + y = 1,900 •••••(i)
Mathematically, the interest on the amount borrowed is;
I = PRT/100
where p is the principal, representing the amount borrowed
R is the rate
T is the time
for the first amount of $x ; we have interest as;
I = (x * 5 * 4)/100 = 20x/100
for the second, we have
I = (y * 9 * 4)/100 = 36y/100
The sum of both is 580
Thus;
20x/100 + 36y/100 = 580
20x + 36y = 58000 •••••(ii)
From equation i;
x = 1,900 - y
Substitute this into equation ii
We have this as;
20(1900-y) + 36y = 58,000
38000 - 20y + 36y = 58,000
16y = 58000 - 38000
16y = 20,000
y = 20,000/16
y = 1250
From equation 1;
x + y = 1900
x = 1900-y
x = 1900-1250
y = 650
