A and B together are supposed to do 13/15 of the work and B and C together 11/20 of the work. If the difference between wages of A and C is Rs. 7600, then the total wages of A and C is:

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SSC MTS Previous Paper 35 (Held On: 21 August 2019 Shift 2)
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  1. Rs. 14000
  2. Rs. 36000
  3. Rs. 18000
  4. Rs. 56000

Answer (Detailed Solution Below)

Option 1 : Rs. 14000
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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90 Questions 150 Marks 90 Mins

Detailed Solution

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Given:

Difference between wages of A and C = Rs. 7600

Formula Used:

Share in wages = Work done/Total work × Total wages

Calculation:

Let total work be 60 unit,

Work done by A and B = 13/15 × 60 = 52 unit

⇒ Work done by C = 60 – 52 = 8 unit

Work done by B and C = 11/20 × 60 = 33 unit

⇒ Work done by A = 60 – 33 = 27 unit

Work done by B = 60 – 27 – 8 = 25 unit

According to the question,

27 – 8 = 19 unit = 7600

⇒ 1 unit = 400

Total wages of A and C = (27 + 8) = 35 units = 35 × 400 = Rs. 14000

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