3% of what number is the sum of 4% of 12 and 6% of 80?

This question was previously asked in
IB Security Assistant & MTS Official Paper (Held On: 23 March, 2023 Shift 3)
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  1. 176
  2. 445
  3. 216
  4. 413

Answer (Detailed Solution Below)

Option 1 : 176
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Detailed Solution

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Given:

3% of Number = 4% of 12 + 6% of 80

Calculation:

Let the value of the number be x.

3% of Number = 4% of 12 + 6% of 80

⇒ 3% × x = 4% × 12 + 6% × 80

⇒ \(3\over100\) × x = \(4\over100\) × 12 + \(6\over100\) × 80

⇒ 3x = 48 + 480 = 528

⇒ x = \(528\over3\) = 176

∴ The number is 176.

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