Question

Two books A and B are sold at a loss of 16% and 24% 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 (in %).
1. 32.08%
2. 40.24%
3. 39.66%
4. 36.16%

Answer 1

Correct Answer - Option 4 : 36.16%

Given:

Two books A and B are sold at a loss of 16% and 24% 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) x 100

Loss percentage = (Loss/Cost price) x 100

Calculation:

Let cost price of A be Rs. 1000 then selling price of A will be Rs. 840

Loss of A	Loss of B
16%	24%

 

And now,

CP (in Rs.)	SP (in Rs.)
1000 [For A]	840 [For A]
840 [For B]	638.4 [For B]

        

So, Selling price of A = Rs. 638.4

Cost price of A = Rs. 1000

Loss% = (361.6/1000 × 100)% = 36.16%

∴ Loss is 36.16%.