If a shopkeeper increases his selling price by 20% due to a 10% increase in his cost price, find his new profit percentage given that his earlier profit percentage was 10%.
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Answer:
Let's assume the CP to be 100/-
Since the SP is increased by 20% it becomes 120/-
Further he offers a discount of 10% on SP so the final SP becomes 90% of 120/- i.e. 108/-
Therefore, he earns a profit of 8/- on 100/-
So his gain % is 8%
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Initially as profit was 10% so SP1 = 11/10 CP1
Final as profit is 15% so SP2 = 23/20 CP2.
Now SP2 is 120% of SP1 so SP2/SP1 = 5/6.
Now putting all variables in game.
5/6 = (11/10) CP1/ (23/20) CP2, from here CP2/ CP1 = 132/115 so change is 17/115 that is 14.782%.
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