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Question : Rani can do the work in 10 days, Priya can do the same work in 15 days and Guddu can do the same work in 12 days. If they do that work together and they are paid Rs. 9000, then what is the share of Priya?

Option 1: Rs. 2400

Option 2: Rs. 3000

Option 3: Rs. 3500

Option 4: Rs. 3600


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Rs. 2400


Solution : Given: Rani can do work in 10 days.
Priya can do work in 15 days.
Guddu can do work in 12 days.
LCM of 10, 15, and 12 is 60.
Efficiency of Rani $=\frac{60}{10}=6$
Efficiency of Priya $=\frac{60}{15}=4$
Efficiency of Guddu $=\frac{60}{12}=5$
$\therefore$ Share of Priya = $\frac{\text{Efficiency of Priya}}{\text{Sum of efficiencies of all three girls}}\times$ Paid amount = $\frac{4}{15}\times$ 9000 = Rs. 2400
Hence, the correct answer is Rs. 2400.

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