The selling price of 84 items is equal to the cost price of 105 items. What is the percentage of profit gained in the transaction?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 21 Jun, 2024 Shift 2)
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  1. 28%
  2. 25%
  3. 21%
  4. 20%

Answer (Detailed Solution Below)

Option 2 : 25%
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Detailed Solution

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Given:

Selling price (SP) of 84 items = Cost price (CP) of 105 items

Formula Used:

Percentage Profit = 

Profit = SP - CP

Calculation:

Let the cost price of each item be C .

Total Cost Price (CP) of 105 items = 105C

Total Selling Price (SP) of 84 items = 105C

Cost Price (CP) of 84 items = 84C

Profit = SP - CP

⇒ Profit = 105C - 84C

⇒ Profit = 21C

Percentage Profit = 

⇒ Percentage Profit = 

⇒ Percentage Profit = 

⇒ Percentage Profit = 

⇒ Percentage Profit = 25%

The percentage of profit gained in the transaction is 25%.

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