XAT 2018 — QA & DI Question 4
Successive Percentage ChangeEasy
The price of a product is P. A shopkeeper raises its price by X% and then offers a discount of Y% on the raised price. The discounted price again becomes P. If Y is the difference between X and Y, then find X.
Answer & solution
- A
20
- B
25
- C
50
100
- E
None of the above
Solution
Given, = P
⇒ = 1 …(1)
⇒ X > Y
It is also given that X – Y = Y.
⇒ X = 2Y
Substituting this in (1)
⇒ = 1
⇒ 1 - ( + = 1
⇒ Y = 50
∴ X = 100
Hence, option (d).