The cost price of 12 fans is equal to the selling price of 16 fans . Find gain or loss percent
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Question
The cost price of 12 fans is equal to the selling price of 16 fans . Find gain or loss percent ?
Solution
Given :-
- The cost price of 12 fans is equal to the selling price of 16 fans
Find :-
- gain or loss in percent of fan
Explanation
Let,
- Cost price of 12 fans = x
Then,
==> cost price of 1 fans will be = x/12
- Selling price of 16 fans = x
Then,
==> Selling price of 1 fans = x/16
Using Formula
★ Lose = Selling price (S.P.) - Cost price (C.P.)
★ Lose % = Lose × 100/C.P.
Then,
==> Lose = x/12 - x/16
==> Lose = (4-3)x/48
==> Lose = x/48
==>Lose = x/48
Now, Lose in %
==> Lose % = Lose × 100/C.P.
==>Lose % = x/48 × 100/(x/12)
==>Lose % = x/48 × 100 × 12/x
==> Lose % = 1/4 × 100
==>Lose % = 25%
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Hence
- Lose % of fans will be = 25%
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