Question

24. Vrinda and Sukhda invested a certain sum of money. Vrinda invested the money in a car whose
value depreciates every year by 10% and Sukhda invested the money in a land whose value
appreciates every year by 15%. After 2years, they found that there was a difference of 410000 in
their earnings. Find the sum of money invested by them.​

Answer 1

Answer:

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Answer 2

24. Vrinda and Sukhda invested a certain sum of money.

Given,

Let the sum of the amount invested by Vrinda and Sukhda be x

i.

Vrinda invested in a car whose value depreciates every year by 10%

10% = 10/100 = 0.1

Amount = x (1 - 0.1)²

Amount = x (0.9)²

Amount = 0.81 x

ii.

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

15% = 15/100 = 0.15

Amount = x (1 + 0.15)²

Amount = x (1.15)²

Amount = 1.3225 x

As there was a difference of 410000 in  their earnings, we have,

1.3225 x - 0.81 x = 410000

0.5125 x = 410000

x = Rs 800,000

Therefore the sum of money invested by Vrinda and Sukhda was

Rs 800,000