A watch is sold at a profit of 25%. Had it been sold for Rs. 120 less then, there would have been a loss of 15%. What is the cost price in rupees?

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. Rs. 400
  2. Rs. 350
  3. Rs. 200
  4. Rs. 300

Answer (Detailed Solution Below)

Option 4 : Rs. 300
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

A watch is sold at a profit of 25%. Had it been sold for Rs. 120 less then, there would have been a loss of 15%.

Calculation:

Let the cost price be 100a

According to the question,

100a × 125% - 120 = 100a × 85%

⇒ 125a - 120 = 85a

⇒ 40a = 120

⇒ a = 3

So, cost price = 100 × 3 = Rs. 300

⇒ Rs. 300

∴ The cost price in rupees is 300.

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