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