Question

rupees 18750 is invested by a man in the bank account of his two sons whose edges are 12 years and 14 years in such a way that they will get equal amount of the age of 18 years at the rate 5% per annum the share of youngest child was​

Answer 1

Answer:

At the amount of the age of 18 years they will get Rs.11'718.75 each

Answer 2

Answer:

The amount invested for younger son is 8918 rupees.

Step-by-step explanation:

In this question

We have given that

Amount = 18750, Rate = 5% = $\frac{5}{100}$ = 0.05

Time of investing  the amount for younger son is = 6 year

Time of investing  the amount for elder son is = 4 year

Let x amount are invested for younger son.

So, (18750 - x) amount are invested for an elder son.

Formula, $A$ = $P(1 + r)^2$

For younger son, $A$ = $x(1 + 0.05)^6$

and for elder son, $A$ = $(18750 - x)(1 + 0.05)^4$

Here one side of both equation are same

Then,  $x(1 + 0.05)^6$ = $(18750 - x)(1 + 0.05)^4$

$x\frac{(1 + 0.05)^6}{(1 + 0.05)^4}$ = $(18750 - x)$

$x(1 + 0.05)^2$ =   $(18750 - x)$

1.1025 x = 18750 - x

2.1025 x = 18750

x = $\frac{18750}{2.1025}$

x = 8918

Hence, the amount invested for younger son is 8918 rupees.