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Q.

If 35 men can reap a field in 8 days, in how many days 20 men can reap the same field?

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a

15 days

b

13 days

c

12 days

d

14 days

answer is D.

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Detailed Solution

Given,
Number of days required by 35 men to reap the field

= 8

. Let the number of days required by 20 men to reap fields be x.
Then,

Number of days	8	x
Number of men	35	20

We can clearly observe that, lesser the number of men, more will be the number of days required to reap the field.
Therefore, this is the case of inverse proportion
As this is case of inverse proportion, therefore the product will remain constant
throughout table that is,

8 × 35 = x × 20

Simplifying,

20 x = 280 x = 28020 x = 14

Hence, the number of days required by 20 men to reap the field is 14 days.
Therefore, option 4 is correct.

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