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After giving 10 percent discount on an article there is still a profit of 10 percent. What will be the profit percentage when no discount is given?
Question

After giving 10 percent discount on an article there is still a profit of 10 percent. What will be the profit percentage when no discount is given?

A.

35 percent

B.

33.33 percent

C.

22.22 percent

D.

66.67 percent

Correct option is C

Given:
Discount given = 10%
Profit when 10% discount is given = 10%
Formula Used:
Selling Price with discount = (100 - Discount)% of Marked Price (MP)
Selling Price with no discount = Marked Price (MP)
Profit Percentage when no discount = [(Selling Price - Cost Price) / Cost Price] * 100
Solution:
Let the Cost Price (CP) = Rs. 100
Selling Price (SP) with 10% profit and 10% discount:
Selling Price = CP * (1 + Profit Percentage)
So, SP with discount = Rs. 110
SP without discount = Marked Price (MP) / (1 - Discount Percentage) = Rs. 122.22
Profit when no discount = (122.22 - 100) / 100 * 100 = 22.22%

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