Question

Ashish has ₹1617 with him. He divided it amongst his sons Arun and Mahesh and asked them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 14 and 15 years respectively. How much (in ₹) did Ashish give to Arun?

• A. 697
• B. 770
• C. 847
• D. 870

Answer 1

Answer:

C. 847

Let Arun get ₹(x), so Mahesh gets ₹(1617 - x)

Both invest at 10% compound interest

Final amount equality:

$x(1.1)^{14} = (1617 - x)(1.1)^{15}$

Divide both sides by $((1.1)^{14}):$

$x = (1617 - x)\times 1.1$

Solve:

$x = 1778.7 - 1.1x$
$2.1x = 1778.7$
$x = 847$

Final Answer: ₹847