Out of 1,15,000 students 20% failed in exam, 40% of the failures failed in science only and 35% in mathematics only. But 5% of them. failed in other subject then. I) how many failed in both science and math? II) show the information in venn diagram
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86,250 students failed in both science and math
- Given,
- Out of 1,15,000 students 20% failed in exam
- 40% of the failures failed in science only
- 35% in mathematics only
- But 5% of them. failed in other subject
- I) how many failed in both science and math?
- = 40% × 1,15,000 + 35% × 1,15,000
- = 40/100 × 1,15,000 + 35/100 × 1,15,000
- = 4 × 11500 + 35 × 1150
- = 46000 + 40250
- = 86,250
- Therefore, a total of 86,250 students failed in both science and math
- II) show the information in venn diagram
- 1,15,000
- 40% × 1,15,000 = 46,000
- 35% × 1,15,000 = 40,250
- 5% × 1,15,000 = 5,750
- 20% × 1,15,000 = 23,000
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