Question

A man left Rs. 50600 for his three sons of ages 10 yrs, 12 yrs and 14 yrs in such a
manner that all of them, when they attained the aged of 18 years, received the
same amount at 5% simple interest. Find how much money he gave to each of his
sons in his will.​

Answer 1

Answer:

Let the amounts invested by x, y, z respectively.

Then,

100

x×2×5

=

100

y×3×5

=

100

z×4×5

=k

∴x=10k,y=

3

20

k, and z = 5k

So x:y:z=10k :

3

20

k : 5k

= 30 : 20 : 15 = 6 : 4 : 3

Answer 2

Answer:

Let the amounts invested by x, y, z respectively.

Then,    x×2×5/100  =  y×3×5/100 =  z×4×5/100 =k

∴x=10k,y=  20/3  k, and z = 5k

So x:y:z=10k :   20/3  k : 5k  

= 30 : 20 : 15 = 6 : 4 : 3

Step-by-step explanation: