Rs.1144 is divided among 2 men, 6 women and 8 boys so that the share of a man, a woman and a boy are in the ratio 3: 2: 1. Then, how much does a man get? (In Rs.)

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UP Police SI (दरोगा) Official PYP (Held On: 14 Nov 2021 Shift 2)
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  1. 132
  2. 102
  3. 122
  4. 112

Answer (Detailed Solution Below)

Option 1 : 132
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Total amount = ₹1144

Number of men = 2

Number of women = 6

Number of boys = 8

Ratio of share (man : woman : boy) = 3 : 2 : 1

Formula used:

Share of a man = Total amount × (man's ratio / Total ratio)

Calculation:

Total ratio = (3 × 2) + (2 × 6) + (1 × 8) = 6 + 12 + 8 = 26

⇒ Share of a man = ₹1144 × (3 / 26)

⇒ Share of a man = ₹132

∴ The correct answer is option (1).

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