An article is marked 25% above its cost price. If x % discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 15.6.
CP of an article is 100x.
MP = 125% of 100x = 125x.
SP of an article at the profit of 5.5%.
SP = 100x × 105.5% = 105.5x.
Discount offered = 125x - 105.5x = 19.5x.
Discount% = 19.5x/125x × 100 = 15.6%
x = 15.6%.