16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency)

16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency)
Posted on 08-02-2023

Ques - 16 persons can reap 1/5th field in 6 days. How many persons (with same efficiency) are required to reap rest of the field in 8 days ?

(a) 27

(b) 54

(c) 48

(d) 64

Solution -

(1/5)th field can be reaped by 16 men's in 6 days = 16 × 6

= 96 man days

(4/5)th field can be reaped = 96 × 4

= 384 man days

Now,

Since there are only 8 days required. 

Number of men = 384/8

= 48 mens

Therefore,

48 persons (with same efficiency) are required to reap rest of the field in 8 days.

Hence,

The correct answer is option (c) 48. 

Thank You