A shopkeeper marks an article x% above the cost price and sells it by allowing 30% discount on the marked price. If there is a loss of 4.8%, then what is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36
Discount % = 30
Loss % = 4.8
Selling price = Marked price × (100 - discount)%
Selling price = Cost price × (100 - loss)%
Let the cost price be 100x.
So, selling price = 100x × (100 - 4.8)% = 100x × 95.2% = 95.2x
According to the question -
Marked price = 95.2x × 100/70 = 136x
Difference = 136x - 100x = 36x
Required % = (36x/100x) × 100 = 36%