Marked price of an article is Rs. 360 more than its cost price. If profit…
2025
Marked price of an article is Rs. 360 more than its cost price. If profit earned is equal to the discount given then find the profit earned ?
- A.
Rs. 190
- B.
Rs. 200
- C.
Rs. 150
- D.
Rs. 180
Attempted by 5 students.
Show answer & explanation
Correct answer: D
Correct Option
Option D: Rs. 180
Step-by-Step Solution
Define the variables:
Let Cost Price = CP.
Marked Price (MP) = CP + 360.
The problem states: Profit = Discount.
Relate Selling Price (SP) to variables:
SP = MP - Discount.
SP = CP + Profit.
Equate the two SP expressions:
Since both expressions equal SP, we have: MP - Discount = CP + Profit.
Substitute and solve:
Because Profit = Discount, we can substitute Discount with Profit: MP - Profit = CP + Profit.
Rearrange: MP - CP = Profit + Profit = 2 * Profit.
From our initial definition, MP = CP + 360, so (MP - CP) = 360.
Therefore, 360 = 2 * Profit.
Profit = 360 / 2 = 180.