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Question
Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is ______.
Options
3.2%
22%
20.8%
8%
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Solution
Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is 20.8%.
Explanation:
Radhika bought a car for Rs. 250000.
Cost price of a car = Rs. 250000
Its price decreased next year for 10%.
So, price become = `250000 - 10/100 xx 250000`
= 250000 – 25000
= Rs 225000
Further next year, its price decreased by 12%, then price will be
= `225000 - 225000 xx 12/100`
= 225000 – 27000
= Rs. 198000
In two years, overall decrease per cent = `(250000 - 198000)/250000 xx 100`
= `52000/250000 xx 100`
= `520/25`
= 20.8%
Hence, 20.8%
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