(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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 55.
Given:
(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.
Formula used:
(Men × days × hours)/work = constant
Calculations:
According to the question;
⇒ (N + 15) × 9 × 8/0.36 = (N + 9) × 20 × 7/0.64
⇒ (N + 15) × 32 = (N + 9) × 35
⇒ 32N + 480 = 35N + 315
⇒ 3N = 165
⇒ N = 165/3 = 55