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Bags A and B were sold at a profit of 25% and 20% respectively. The cost price of B is the same as selling price of A.  Find the profit or loss percentage if A is sold at the selling price of B.


1. 55%
2. 50%
3. 60%
4. 65%

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Correct Answer - Option 2 : 50%

Given:

Bags A and B were sold at a profit of 25% and 20% respectively.

The cost price of B is the same as selling price of A.

Formula used:

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit / Cost Price) × 100

Loss percentage = (Loss / Cost price) × 100

Calculation:

Let cost price of B be Rs. 1000 then selling price of A will be 1000.

Profit 25% 20%
  CP SP
A 1000/1.25 1000
B 1000 1200


⇒ CP of A = 1000/1.25 = 800

Now,

If A is sold at selling price of B,

CP of A = 800

SP of A = 1200

Profit % = {(1200 - 800)/800} × 100% = 50%

∴ Profit % is 50%

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