A, B and C can do a work in 8, 10 and 12 days, respectively. After completing the work together, they received Rs. 5,550. What is the share of B (in Rs.) in the amount received?

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 1)
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  1. 1,800
  2. 1,696
  3. 1,500
  4. 1,850

Answer (Detailed Solution Below)

Option 1 : 1,800
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Detailed Solution

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Given:

A, B, and C can do a work in 8, 10, and 12 days, respectively.

Total amount received = Rs. 5550

Concept used:

Efficiency or wages ratio ∝ 1/Time taken

Calculation:

A, B, and C can do a work in 8, 10, and 12 days, respectively.

The ratio = 8 : 10 : 12

The efficiency ratio of A, B, and C = 1/8 : 1/10 : 1/12

= 15 : 12 : 10

So, their wages ratio = 15 : 12 : 10

The share of B = (12/37) × 5550 = Rs. 1800

∴ The share of B (in Rs.) in the amount received is Rs. 1800

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