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25 Dec 2025, 13:43
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Bunuel
Let's form a table from question :
| Drink | Non - Drink | Total | |
| Smoker | 75 | 50 | 125 |
| Non - Smoker | 25 | 100 | 125 |
| Total | 100 | 150 | 250 |
Now question is percent of non - smoker who don't drink :
Non smoker - 125 and out of which 100 don't drink
So,
100/125 * 100 = 80 percent
Ans - E
25 Dec 2025, 14:00
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Bunuel
Both smokers and drinkers = 75.
If 40% smokers doesnt drink. 60% of smokers do drink which is 75.
0.60 S= 75
S = 125.
Smokers who doesnt drink = 125 - 75 = 50.
Similiarly...If 25% of drinkers doesnt smoke,,,75% of the drinkers smokes.
0.75 D = 75
D = 100.
Drinkers who doesnt smoke = 100-75 = 25
People who doenst drink and smoke at all = 250 - (75+50+25) = 250 - 150 = 100.
Total Non Smokers = 250 - 125 (total smokers) = 125.
Non-Smokers who doesnt drink = 100/125 x 100 = 80%
25 Dec 2025, 14:45
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Both is 30% of 250 which equals= 75 people
If 40% of smokers do not drink then it means 60% which equals 75 does drink so 40%/60%x75= 50
Simmilarly if 25% of drinkers do not smoke then 75=75% meaning 25% equals= 25 people
Total smokers equals 50+75= 125 (Non-smokers =250-125= 125)
Of the 125 non-smokers 25 drink meaning 100 do not
This translates to 100/125x100= 80%
Ans E
If 40% of smokers do not drink then it means 60% which equals 75 does drink so 40%/60%x75= 50
Simmilarly if 25% of drinkers do not smoke then 75=75% meaning 25% equals= 25 people
Total smokers equals 50+75= 125 (Non-smokers =250-125= 125)
Of the 125 non-smokers 25 drink meaning 100 do not
This translates to 100/125x100= 80%
Ans E
Bunuel
25 Dec 2025, 19:15
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Solve simply with double set matrix.
Important to note that since the question is asking for a percentage, the actual quantity of the people does not matter. When setting up double set matrix, just set the total to 100% and continue entering given information like that.
40% of the smokers do not drink means that 60% of the smokers do drink, and if 30% of the total group are both drinkers and smokers it means that 30% is 60% of the total number of smokers, which means that 20% of the smokers do not drink.
That also means 50% of the group does drink and 50% do not drink. From the additional information about one quarter of the drinkers do not smoke, you can infer that three quarters of the drinks do smoke, which leads to the answer 40.
Always clearly read what the question is asking for; there are other potential traps in the answers. The question is asking for what percentage of non smokers specifically.
Important to note that since the question is asking for a percentage, the actual quantity of the people does not matter. When setting up double set matrix, just set the total to 100% and continue entering given information like that.
40% of the smokers do not drink means that 60% of the smokers do drink, and if 30% of the total group are both drinkers and smokers it means that 30% is 60% of the total number of smokers, which means that 20% of the smokers do not drink.
That also means 50% of the group does drink and 50% do not drink. From the additional information about one quarter of the drinkers do not smoke, you can infer that three quarters of the drinks do smoke, which leads to the answer 40.
Always clearly read what the question is asking for; there are other potential traps in the answers. The question is asking for what percentage of non smokers specifically.
