Let married men be x

Working married men is 0.8x

Married men over 35 years = 0.75x

Working married men over 35 is 0.8x × 0.7 = 0.56x

Since married men over 35 includes both working and non-working married men over 35,

Therefore, non-working married men over 35 is: 0.75x – 0.56x = 0.19x

Total non-working married men is 1 – 0.8x = 0.2x

Thus, proportion of non-working married men who are over 35 is: 0.19x / 0.2x = 0.95

Covert to %, we get 95%

Hope this helps 🙂

hello according to my answer sheet it says that the ans is 95% ! could u double check again please ?

Missed out the final step. Forgot that the question wants the proportion of non-working men. Edited.

thank you !