The selling price of 10 objects is equal to the cost price of 8 objects. Find the loss or profit percentage.

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  1. 28% profit
  2. 20% loss
  3. 23% profit
  4. 31% loss

Answer (Detailed Solution Below)

Option 2 : 20% loss
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Detailed Solution

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Given:

Selling price (SP) of 10 objects = Cost price (CP) of 8 objects

Formula used:

Loss% = Loss/CP × 100

Calculation:

Let the cost price of 1 object be

So, CP of 10 objects = 10 × CP

Given that SP of 10 objects = CP of 8 objects

So, SP of 10 objects = 8 × CP

We need to find the profit or loss percentage.

Profit or Loss = SP - CP

Here, SP of 10 objects = 8 × CP

CP of 10 objects = 10 × CP

Loss = CP - SP = 10 × CP - 8 × CP

Loss = 2 × CP

Loss = 2CP/10CP × 100

Loss = 1/5 = 20%

The loss percentage is 20%.

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