Akshay purchased a camera at a certain price. After some days, he sold the camera to Bela at a profit of 20 %. She, in her turn, sold it to Chetan at a profit of 10 %. If Chetan sold it to David at a loss of 1,200 and the difference between Akshay's C.P. and David's C.P. is * 2,000, then find the price at which Akshay bought the camera.
Answers
Given : Akshay purchased a camera at a certain price. After some days, he sold the camera to Bela at a profit of 20 %. She, in her turn, sold it to Chetan at a profit of 10 %. If Chetan sold it to David at a loss of 1,200 and the difference between Akshay's C.P. and David's C.P. is * 2,000,
To find: the price at which Akshay bought the camera.
Solution:
Let say Akshay bought the camera = 100x
CP for Akshay = 100x
=> sold the camera to Bela at a profit of 20 %.
=> 100x + (20/100)100x = 120x
CP for Bela = 120x
She, in her turn, sold it to Chetan at a profit of 10 %
=> 120x + (10/100)120x = 132x
CP for Chetan = 132x
Chetan sold it to David at a loss of 1,200
132x - 1200
David CP = 132x - 1200
the difference between Akshay's C.P. and David's C.P. is * 2,000,
132x - 1200 - 100x = 2000
=> 32x = 3200
=> x = 100
price at which Akshay bought the camera. 100x
= 100 (100)
= 10000
Akshay bought the camera for 10000
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