Question:
Cost price of 12 oranges is equal to the selling price of 9 oranges and the discount on 10 oranges is equal to the profit on 5 oranges. What is the percentage point difference between the profit percentage and discount percentage?

Option A):
15
Option B):
22.22
Option C):
16.66
Option D):
20

Correct Answer is Option B):
22.22

Explanation:
Ratio of selling price and Cost Price,
SP:CP = 12:9 =4:3
Profit of 3 oranges = Re 1 (Let CP = Re 1)
Profit = 1/3 = 33.33%
and, Discount = 11.11%
Since,
CP:SP:MP = 3:4:4.5
Profit doubles that of discount.
So, % point discount = 33.33%-11.11% = 22.22% point.

Detail Explanation:
12 C.P = 9 S.P,
So profit % ={(12 C.P - 9 C.P)/9 C.P} = 33.33.
Then it is said that,
5 SP - 5 CP = 10MP -10SP
From that we get relation between MP and SP, that is,
27 SP=24 MP( With help of 12 CP= 9 SP ).
THEN DISCOUNT % = (MP-SP)/MP = 11.11%.
So, % point discount 33.33%-11.11%= 22.22%.