Question 16.

A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of N is

A
23
B
140
C
36
D
150

Question Explanation

Text Explanation

Let the unit of work done by 1 man in 1 hour and 1 day be 11 MDH unit (Man Day Hour).

Thus, in 7 hours per day for 10 days, the work done by NN people =

N×7×10N \times 7 \times 10 MDH units.

Since this is equal to 35% of the total work,

35% of the total work = N×7×10N \times 7 \times 10 MDH units.

Total work = (N×100×7×10)35=200N\dfrac{(N \times 100 \times 7 \times 10)}{35} = 200N MDH units.

The work left = 200N70N=130N200N - 70N = 130N MDH units.

Now, 10 people left the job. So, the number of people left = (N10)(N - 10)

Since (N10)(N - 10) people completed the rest of work in 14 days by working 10 hours a day,

(N−10)×14×10=130N

10N=140010N = 1400

N=140N = 140

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