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In a group of 250 people, 30% are both smokers and drinkers. If 40% of the smokers do not drink, and 25% of the drinkers do not smoke, what percentage of non-smokers do not drink?
A. 20%
B. 40%
C. 50%
D. 60%
E. 80%
A. 20%
B. 40%
C. 50%
D. 60%
E. 80%
12 Jan 2026, 11:44
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Official Solution:
In a group of 250 people, 30% are both smokers and drinkers. If 40% of the smokers do not drink, and 25% of the drinkers do not smoke, what percentage of non-smokers do not drink?
A. 20%
B. 40%
C. 50%
D. 60%
E. 80%
We are told that 30% of the total 250 people are both smokers and drinkers, which means 75 people are both smokers and drinkers: {Smokers and Drinkers} = 75.
We are told that, 40% of the smokers do not drink, meaning 60% of the smokers do drink. So:
0.6 * {Smokers} = 75
{Smokers} = 125
Next, we are also told that, 25% of the drinkers do not smoke, meaning 75% of the drinkers do smokers. So:
0.75 * {Drinkers} = 75
{Drinkers} = 100
Now, let’s summarize:
We are asked to find the percentage of non-smokers (125) who do not drink (100), which is 100/125 = 0.8.
Answer: E
In a group of 250 people, 30% are both smokers and drinkers. If 40% of the smokers do not drink, and 25% of the drinkers do not smoke, what percentage of non-smokers do not drink?
A. 20%
B. 40%
C. 50%
D. 60%
E. 80%
We are told that 30% of the total 250 people are both smokers and drinkers, which means 75 people are both smokers and drinkers: {Smokers and Drinkers} = 75.
We are told that, 40% of the smokers do not drink, meaning 60% of the smokers do drink. So:
0.6 * {Smokers} = 75
{Smokers} = 125
Next, we are also told that, 25% of the drinkers do not smoke, meaning 75% of the drinkers do smokers. So:
0.75 * {Drinkers} = 75
{Drinkers} = 100
Now, let’s summarize:
We are asked to find the percentage of non-smokers (125) who do not drink (100), which is 100/125 = 0.8.
Answer: E
