Question

16. A man left Rs. 2,500 for his two sons aged 10 years and 15 years with the decision
that the sum should be divided in such a way that two sons got the same amount
when they reached at the age of 30 years. Assuming that the rate of compound
interest is 5% p.a., calculate how much the younger son got when he was 10 years old​

Answer 1

Step-by-step explanation:

the answer is 1250.i got that answer only.u can ask others also.

Answer 2

Answer:

1166.66

Step-by-step explanation:

Let the sum left for the 10 years old and 15 years old sons be Rs. x and Rs. (2500−x) respectively.

Remaining year for 10 year old and 15 year old sons be 20 and 15 years respectively.

Then,

$\frac{(x)(20)(5)}{100}+x = \frac{(2500-x)(15)(5)}{100}+(2500-x)$

⇒

$\frac{100x}{100}+x= \frac{187500-75x}{100}+(2500-x)\\ \\2x= 1875-0.75x+2500-x\\\\3.75x=4375\\\\x=\frac{4375}{3.75} \\\\x=1166.66$

hence, Rs.1166.66 the younger song got when he was 10 year old.