Question

A dealer allows a discount of 10% and still gains 10%. What is the cost price of the bookwhich is marked at ` 220?

Answer 1

Marked price of the book = Rs 220
Discount = 10%
Discount price =  10% of 220 = 10/100 * 220 = Rs 22
Price after discount = Selling price = Rs (220 - 22) = Rs 198
Now, Let the cost price be x
Gain = 10%
Gain price = 10% of x = 10/100 * x = x/10
A/q,
Selling Price = Cost price + Gain Price
=> 198 = x + x/10
=> 198 = (10x + x)/10
=> 1980 = 11x
=> 11x = 1980
=> x = 1980/11
=> x = 180
Therefore, the cost price is Rs 180

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