Question

Priyanshu and manan invested a certain amount of money. Priyanshu invested the money in a car whose value depreciates every year by 10% and Manan invested the money in a land whose value appreciates every year by 15%. After 2 years they found that there was a difference of 4,10,000 in their earnings. Find the sum of money invested by them?

Answer 1

Let the principal amount be x

Priyanshu:

Invested in a car whose value depreciates every year by 10%

Amount = x(1 - 0.1)²

Amount = x(0.9)²

Amount = 0.81x

Manan:

Invested in a land whose value appreciates every year by 15%.

Amount = x(1 + 0.15)²

Amount = x(1.15)²

Amount = 1.3225x

Solve x:

The difference is Rs 410000

1.3225x - 0.81x = 410000

0.5125x = 410000

x = Rs 800,000

Answer: The sum of money invested was Rs 800,000

Answer 2

$\huge\mathcal{\fcolorbox{blue}{red}{{800000}}}$

Your full solution is in the above attachment.