X, Y and Z completed a work costing Rs. 3,400, X worked for 5 days, Y for 7 days and Z for 10 days. If their daily wages are in the ratio of 4 ∶ 5 ∶ 3, how much amount will be received by X?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. Rs. 700
  2. Rs. 900
  3. Rs. 800
  4. Rs. 600

Answer (Detailed Solution Below)

Option 3 : Rs. 800
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Detailed Solution

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Given:

The number of days required to complete the work by X, Y, and Z  are 5 days, 7 days, and 10 days respectively

Their daily salary ratio = 4: 5: 3

X, Y, and Z completed a work costing Rs. 3,400

Formula used

Total wage = Days × Wage per day

Calculation:

The ratio of wages X, Y, Z = (4 × 5 : 5 × 7 : 10 × 3) = 20 : 35 : 30

⇒ The ratio of wages A, B, C = 4 : 7 : 6

⇒ X's share = (4/17) × 3400 = 800

∴ The share of X is Rs. 800

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