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The cost of Vivo mobile depreciated 1st year by 10% in the 2nd year by 20% and 3rd year 30% and find the present price of the mobile if price after 3 years is Rs. 5040.OptionsRs. 2540.16Rs. 10000Rs. 4032Rs. 4233.6

Question

The cost of Vivo mobile depreciated 1st year by 10% in the 2nd year by 20% and 3rd year 30% and find the present price of the mobile if price after 3 years is Rs. 5040.OptionsRs. 2540.16Rs. 10000Rs. 4032Rs. 4233.6

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Solution

To solve this problem, we need to work backwards from the final price after depreciation.

  1. After the 3rd year, the price of the Vivo mobile is Rs. 5040. This price is after a 30% depreciation. So, the price before the depreciation in the 3rd year would be 5040 / (1 - 0.30) = Rs. 7200.

  2. Now, we know that this Rs. 7200 is after a 20% depreciation in the 2nd year. So, the price before the depreciation in the 2nd year would be 7200 / (1 - 0.20) = Rs. 9000.

  3. Finally, this Rs. 9000 is after a 10% depreciation in the 1st year. So, the original price of the Vivo mobile would be 9000 / (1 - 0.10) = Rs. 10000.

So, the correct option is Rs. 10000.

This problem has been solved

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