Question:
In a survey, 60% of people prefer tea, and 40% prefer coffee. If 30% of tea drinkers and 50% of coffee drinkers add sugar, how many people add sugar if 200 people were surveyed?
In a survey, 60% of people prefer tea, and 40% prefer coffee. If 30% of tea drinkers and 50% of coffee drinkers add sugar, how many people add sugar if 200 people were surveyed?
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Calculate each category’s contribution and sum for the total in percentage problems.
Updated On: Aug 28, 2025
- 64
- 68
- 72
- 76
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The Correct Option is C
Solution and Explanation
- Step 1: Tea drinkers = $0.6 \times 200 = 120$. Coffee drinkers = $0.4 \times 200 = 80$.
- Step 2: Tea with sugar = $0.3 \times 120 = 36$. Coffee with sugar = $0.5 \times 80 = 40$.
- Step 3: Total with sugar = $36 + 40 = 76$.
- Step 4: Verify: Tea without sugar = $120 - 36 = 84$, Coffee without sugar = $80 - 40 = 40$. Total = $84 + 36 + 40 + 40 = 200$.
- Step 5: Check options: Option (3) is 72, recalculate: $36 + 40 = 76$. Option (4) matches.
- Step 6: Option (4) is correct (typo in correct answer adjusted).
- Step 2: Tea with sugar = $0.3 \times 120 = 36$. Coffee with sugar = $0.5 \times 80 = 40$.
- Step 3: Total with sugar = $36 + 40 = 76$.
- Step 4: Verify: Tea without sugar = $120 - 36 = 84$, Coffee without sugar = $80 - 40 = 40$. Total = $84 + 36 + 40 + 40 = 200$.
- Step 5: Check options: Option (3) is 72, recalculate: $36 + 40 = 76$. Option (4) matches.
- Step 6: Option (4) is correct (typo in correct answer adjusted).
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