Select the correct answerThe 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. 4233.6Rs. 2540.16Rs. 10000Rs. 4032
Question
Select the correct answerThe 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. 4233.6Rs. 2540.16Rs. 10000Rs. 4032
Solution
The question is asking for the original price of the Vivo mobile before depreciation.
Given that the price after 3 years of depreciation is Rs. 5040, we can calculate the original price by reversing the depreciation process.
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In the 3rd year, the price depreciated by 30%. This means the price before depreciation in the 3rd year is 5040 / (1 - 0.30) = Rs. 7200.
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In the 2nd year, the price depreciated by 20%. So, the price before depreciation in the 2nd year is 7200 / (1 - 0.20) = Rs. 9000.
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In the 1st year, the price depreciated by 10%. Therefore, the original price of the mobile before any depreciation is 9000 / (1 - 0.10) = Rs. 10000.
So, the correct answer is Rs. 10000.
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