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Question

1) P and Q agreed to complete a job in 15 days for Rs. 6200. P can complete the same job in 50 days and Q in 30 days. They had to take R to complete the work in time. Find R's share in the money earned by them.

A
(a) Rs.880
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B
(b) Rs.1240
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C
(c) Rs.1460
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D
(d) Rs.2020
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Solution

The correct option is B (b) Rs.1240

Ans:1)(b)
Sol:-
Let, the number of days R takes to complete the work = r
Given that (1/30 + 1/50 + 1/r)15 = 1;
r=75;
The amount will be shared between P, Q and R in the ratio of
(1/30):(1/50):(1/75) = 5:3:2
R will get 6200×(2/10)= 1240

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