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Q.At the end of each year the value of a certain car has depreciated 20% of its value at the beginning of that year. If its initial value was Rs. 1250, then find the value at the end of 5 years.

Manipur CohsemCouncil of Higher Secondary Education, Manipur (Higher Secondary 1st Year) 2024Subjective· 2mImportance★★★★★
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The car's value after 5 years is Rs. 409.60409.60.

Each year the value is 80%80\% (i.e. 1−0.201-0.20) of the value at the start of that year, so the yearly values form a GP with first term 12501250 and common ratio r=0.8r=0.8.

Value after 5 years =1250×(0.8)5= 1250\times(0.8)^5.

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