David got two and a half times as many marks in English as in History. If his total marks in the two subjects are 140, the marks obtained by him in English?

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JKSSB SI Official Paper (Held On: 07 Dec 2022 Shift 2)
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  1. 80
  2. 57
  3. 49
  4. 100

Answer (Detailed Solution Below)

Option 4 : 100
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Detailed Solution

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Given:

Total marks in English and History = 140

English marks = 2.5 × History marks

Formula used:

Let History marks = x ⇒ English marks = 2.5x

Total = x + 2.5x = 140

Calculation:

x + 2.5x = 140

⇒ 3.5x = 140

⇒ x = \(\frac{140}{3.5} = 40\)

English marks = 2.5 × 40 = 100

∴ The correct answer is 100 marks

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