Question
Download Solution PDF(N +18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days. (N + 12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day. Determine the value of N.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
(N +18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days.
(N + 12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day.
Calculation :
⇒ (N + 18) × 7.5 × 20/48 = (N + 12) × 30 × 6.5/52
⇒ (N + 18) × 7800 = (N + 12) × 9360
⇒ (N + 18) × 780 = (N + 12) × 936
⇒ 780 N + 14040 = 936N + 11232
⇒ 156N = 2808
⇒ N = 2808/156 = 18
∴ The correct answer is 18.
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