Question
Download Solution PDFA, 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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