A shopkeeper marks the price of his goods by x% and then offers a discount of 10% and he also cheats by 20% while purchasing. Find the value of x of its profit is 25%.
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Answer:
The discount percentage is 8.33
Step-by-step explanation:
Let the cost of the items be X
The shopkeepers gets 20% profit
Thus, he sells the items at
=X + 20/100 X Rs
= 1.2 X Rs
After discount the profit is only 10%
Thus, afer discount, the selling price becomes = 1.1X Rs.
Therefore, the dicount price
= 1.2X - 1.1X = 0.1 X
This discount is at the selling price = 1.2X
Thus, discount percentage
= 0.1X × 100/1.2X
= 100/12
= 8.33%
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