A father left ? 15,860 for his three sons A. B. C aged 16 years, 15 years, 14 yeurs respectively with the directions that the sum would be divided in such a way that three sons get the same amount (interest + principal) when they are adult (18 years old). Assuming the rate of simple interest at 5% p.a., calculate their initial sums (principals).
Answers
A's initial sums = 5520.04 Rs.
B's initial sums = 5279.91 Rs.
C's initial sums = 5060.05 Rs.
Given:
A father left ? 15,860 for his three sons A. B. C aged 16 years, 15 years, 14 years respectively.
Sum would be divided in such a way that three sons get the same amount (interest + principal) when they are adult (18 years old).
Assuming the rate of simple interest at 5% p.a.
To find:
Their initial sums (principals).
Explanation:
Consider initial sum of sons A. B. C are x,y,z
From given data
x+y+z = 15,860
Sons A get 2 year simple interest that is 5×2 = 10 % total interest
Sum after 18 year = 1.1 x
On the similar way,
Sum after 18 year B get= 1.15 y
Sum after 18 year C get= 1.2 z
After 18 year all are get same amount
That is 1.1 x = 1.15 y = 1.2 z
From this equation we can find value of y and z in terms of x
From above equation,
x+y+z = 15,860
x+ 0.9565 x + 0.91667 x= 15,860
x = 5520.04 Rs.
y = 5279.91 Rs.
z = 5060.05 Rs.
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