Manisha has Rs. 8000 in her wallet. Then she increased it by 10%. Now she spent 5% of it. The final value of money in her wallet will be how much percent greater than the initial amount? 

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SSC MTS (2022) Official Paper (Held On: 09 May 2023 Shift 3)
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  1. 5%
  2. 6%
  3. 4.5%
  4. 5.5%

Answer (Detailed Solution Below)

Option 3 : 4.5%
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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Given:

Initial amount = Rs. 8000

Percentage increase = 10%

Percentage spent = 5%

Formula Used:

Final amount = Initial amount × (1 + Percentage increase/100) × (1 - Percentage spent/100)

Percentage difference = (Final amount - Initial amount)/Initial amount × 100%

Calculation:

According to the given data,

Final amount = 8000 × (1 + 10/100) × (1 - 5/100) = Rs. 8360

Percentage difference = (8360 - 8000)/8000 × 100% = 4.5%

∴ The remaining amount in her wallet is 4.5% greater than the initial amount.

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