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Question 23
A and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned ₹1,848. What was the share of C ?
Solution
Let the total work be 24 units.
($$\because$$ LCM of 6, 8 and 3 is 24.)
Efficiency of A = 24/6 = 4
Efficiency of B = 24/8 = 3
Efficiency of A, B and C = 24/3 = 8
Efficiency of C = 8 - 4 - 3 = 1
Ratio of the efficiency of A, B and C = 4 : 3 : 1
Total earning = 1848
Share of C = $$\frac{1}{4 + 3 + 1} \times 1848 = \frac{1}{8} \times 1848 = Rs.231$$
$$\therefore$$ The correct answer is option A.
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