the value of an article decreased for two years at the rate of 10% per year and then in the third year it is increased by 10%. find the original value of the article, if it's valid at the end of 3 years is rupees 40,095
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ANSWER
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Let the original value be x
Price after 1 year = 90 % of x
= 90x / 100
Price after second year = 90 % of (90x / 100)
= 81x / 100
=> Price will now increase after third year
SO,
Price after third year = 110 % of (81x / 100)
= 110/100 x 81x/100
= (891x / 1000)
This is equal to rs. 40095
=> 891x / 1000 = 40095
=> 891x = 40095 x 1000
=> x = 40095 x 1000 / 891
=> x = 45 x 1000
=> x = Rs. 45000
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Answer = Rs. 45000
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HOPE IT HELPS :):):):)
------------------------------------
Let the original value be x
Price after 1 year = 90 % of x
= 90x / 100
Price after second year = 90 % of (90x / 100)
= 81x / 100
=> Price will now increase after third year
SO,
Price after third year = 110 % of (81x / 100)
= 110/100 x 81x/100
= (891x / 1000)
This is equal to rs. 40095
=> 891x / 1000 = 40095
=> 891x = 40095 x 1000
=> x = 40095 x 1000 / 891
=> x = 45 x 1000
=> x = Rs. 45000
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Answer = Rs. 45000
-----------------------------------------------------------------
HOPE IT HELPS :):):):)
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