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Question

The cost of a car depreciates at the rate of 20% every year. If its present worth is ₹315600, find the purchase value of the car, if it was purchased two years back.


A

4,93,125

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B

2,01,984

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C

₹4,10884

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D

2,22,884

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Solution

The correct option is A

4,93,125


Given:
A = ₹3,15,600,
r = 20 % ,
n = 2 years.

Let P be the value of the car two years ago.

A=P(120100)2
315600=P(115)2
315600=P(4×45×5)

P=315600×5×54×4

P=4,93,125

Purchase value of the car=4,93,125


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