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SSC GD Constable (Held On: 16 Nov 2021 Shift 1) Memory Based Paper

Option 3 : 50%

**Given:**

The cost price of 48 articles is equal to the selling price of 32 articles

**Formula used:**

Profit = Selling price - Cost price

Profit percent = (Profit/Cost Price) × 100

**Calculations:**

According to the question, we have

The cost price of 1 article is 1/48

The selling price of 1 article is 1/32

So, Profit = Selling price - Cost Price

⇒ Profit = (1/32) - (1/48)

LCM of 32 and 48 is 96

⇒ Profit = (3 - 2)/96

⇒ Profit = 1/96

Now, The Profit percent is

Profit percent = (Profit/Cost Price) × 100

⇒ Profit percent = (1/96) × 48 × 100

⇒ Profit percent = (1/2) × 100

⇒ Profit percent = 50%

**∴ The profit percent is 50%.**

** **

The cost price of 48 articles is equal to the selling price of 32 articles

⇒ Cost price × 48 articles = Selling price × 32

⇒ Cost price/Selling price = 32/48

⇒ Cost price/Selling price = 2/3

Hence, Cost price = 2 units and Selling price = 3 units

⇒ Profit = 3 - 2

⇒ Proft = 1 units

So, Profit percent = (Profit/Cost Price) × 100

⇒ Profit percent = (1/2) × 100

⇒ Profit percent = 50%

∴ The profit percent is 50%.

__Shortcut Trick__

When we deal in articles

Profit = bought article - sold articles

Profit% = (profit/sold article) × 100

Profit = 48 - 32 = 16

Profit% = (16/32) × 100 = 50%

∴ The profit percent is 50%.