Two wrist watches were sold for Rs. 1,980 each. One wrist watch was sold at a profit of 10% and the other one at a loss of 10%, The entire transaction resulted in:

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SSC CHSL 2020 Official Paper 12 (Held On: 16 April 2021 Shift 3)
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  1. no gain no loss
  2. a gain of Rs. 99
  3. a loss of Rs. 40
  4. a loss of Rs. 99

Answer (Detailed Solution Below)

Option 3 : a loss of Rs. 40
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:

The selling price of each wristwatch = Rs. 1980

Concept used:

CP = SP × 100/(100 – Loss%)

CP = SP × 100/(100 + Profit%)

Calculation:

CP of 1 watch = 1980 × 10/11

⇒ Rs. 1800

CP of another watch = 1980 × 10/9

⇒ Rs. 2200

Total CP = 1800 + 2200

⇒ Rs. 4000

Total SP = 1980 × 2

⇒ 3960

Loss = 4000 – 3960

⇒ Rs. 40

∴ The entire transaction resulted in a loss of Rs. 40.

Shortcut TrickWhen Profit and loss % are the same and SP is also the same then it will give only a loss

+ 10% -10% + (-10 × 10)/100

⇒ -1%

Loss = 3960 × 1/99

⇒ Rs. 40

∴ The entire transaction resulted in a loss of Rs. 40.

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