Question Details

The profit made on an article sold for ₹2400 is equal to the loss incurred when it is sold for ₹2000. What will be the profit or loss percentage if the article is sold for ₹2200?

Options

A

Profit of 2.5%

B

Profit of 3.125%

C

Loss of 3.125%

D

No loss, No profit

Show Answer

Correct Answer :

Option D

No loss, No profit

Solution :

The correct option is No loss, No profit.

Step 1: Understand the given problem
Let the Cost Price (CP) of the article be CP rupees.
We are given two selling price (SP) scenarios:
1. When the Selling Price (SP1) is ₹2400, a profit is made.
Profit=SP1-CP=2400-CP
2. When the Selling Price (SP2) is ₹2000, a loss is incurred.
Loss=CP-SP2=CP-2000

Step 2: Calculate the Cost Price (CP)
According to the problem, the profit made at ₹2400 is equal to the loss incurred at ₹2000. Therefore:
2400-CP=CP-2000
Bringing like terms together:
2400+2000=2×CP
4400=2×CP
CP=44002=2200
So, the cost price of the article is ₹2200.

Step 3: Determine the profit or loss when sold for ₹2200
Now, the new Selling Price (SP3) is ₹2200.
Since the Cost Price (CP) is ₹2200 and the new Selling Price (SP3) is also ₹2200, we have:
CP=SP3=2200
Since the Selling Price is equal to the Cost Price, there is neither any gain nor any loss incurred on the transaction.

Thus, there is No loss, No profit.

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