Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

[A]. 3 : 4

[B]. 4 : 3

[C]. 5 : 3

[D]. Data inadequate

✅ The correct answer is option B.
(20 x 16) women can complete the work in 1 day.

1 woman’s 1 day’s work =
1
.

320

(16 x 15) men can complete the work in 1 day.

1 man’s 1 day’s work =
1

240

So, required ratio

=
1
:
1

240
320

=
1
:
1

3
4

= 4 : 3 (cross multiplied)

114. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?