Question
Download Solution PDF(N + 15) persons, each working for 9 hours a day, can complete 36% of a work in 8 days. (N + 9) persons can complete the remaining work in 20 days, if each of them works for 7 hours per day. Determine the value of N.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
(N + 15) persons, each working for 9 hours a day, can complete 36% of a work in 8 days.
Formula Used :
M1H1D1/W1 = M2H2D2/W2
Calculation :
⇒ (N + 15) × 9 × 8/36% = (N + 9) × 20 × 7/64%
⇒ (N + 15) × 9 × 8/36 = (N + 9) × 20 × 7/64
⇒ (N + 15) × 2 = (N + 9) × 35/16
⇒ (N + 15) × 32 = (N + 9) × 35
⇒ 32N + 480 = 35N + 315
⇒ 3N = 165
⇒ N = 55
∴ The correct answer is 55.
Last updated on Jul 9, 2025
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