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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 ______. - Mathematics

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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%

MCQ
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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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Chapter 9: Comparing Quantities - Exercise [Page 289]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 20. | Page 289
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