Question
Download Solution PDFP and Q can do a work in 12 days and 9 days, respectively. They both worked together and earned ₹63,000. The share of P (in Rs.) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P can complete the work in 12 days.
Q can complete the work in 9 days.
Total earnings for the work = ₹63,000
Formula Used:
Work done by P in one day = 1 / 12
Work done by Q in one day = 1 / 9
Combined work done by P and Q in one day = (1 / 12) + (1 / 9)
Share of P = (Work done by P) / (Total work) × Total earnings
Calculation:
Combined work done by P and Q in one day:
LCM of 12 and 9 = 36
Work done by P in one day = 3 / 36
Work done by Q in one day = 4 / 36
Combined work done in one day = (3 / 36) + (4 / 36) = 7 / 36
Ratio of work done by P and Q:
Ratio = Work done by P : Work done by Q = 3 : 4
Let the total work be divided into 7 parts (3 parts by P and 4 parts by Q).
Share of P = (3 / 7) × 63,000
⇒ Share of P = 27,000
The share of P is ₹27,000
Last updated on May 28, 2025
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